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Finding the Fourth Proportional to 1,947.16, 2,920.74 and 972.73

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Solution

The fourth proportional to 1,947.16, 2,920.74 and 972.73 is: 1,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.16 : 2,920.74 = 972.73 : x
  2. Step 2: Convert to fraction form
    1,947.16/2,920.74 = 972.73/x
  3. Step 3: Cross multiply
    1,947.16x = 2,920.74 × 972.73
  4. Step 4: Simplify right side
    1,947.16x = 2,841,091.42
  5. Step 5: Solve for x
    x = 2,841,091.42/1,947.16
  6. Step 6: Final answer
    x = 1,459.10

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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.