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Finding the Fourth Proportional to 1,981.72, 2,972.58 and 955

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Solution

The fourth proportional to 1,981.72, 2,972.58 and 955 is: 1,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.72 : 2,972.58 = 955 : x
  2. Step 2: Convert to fraction form
    1,981.72/2,972.58 = 955/x
  3. Step 3: Cross multiply
    1,981.72x = 2,972.58 × 955
  4. Step 4: Simplify right side
    1,981.72x = 2,838,813.90
  5. Step 5: Solve for x
    x = 2,838,813.90/1,981.72
  6. Step 6: Final answer
    x = 1,432.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.