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Finding the Fourth Proportional to 1,987.32, 2,981.46 and 833.40

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Solution

The fourth proportional to 1,987.32, 2,981.46 and 833.40 is: 1,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.32 : 2,981.46 = 833.40 : x
  2. Step 2: Convert to fraction form
    1,987.32/2,981.46 = 833.40/x
  3. Step 3: Cross multiply
    1,987.32x = 2,981.46 × 833.40
  4. Step 4: Simplify right side
    1,987.32x = 2,484,748.76
  5. Step 5: Solve for x
    x = 2,484,748.76/1,987.32
  6. Step 6: Final answer
    x = 1,250.30

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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.