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Finding the Fourth Proportional to 1,773.76, 2,447.68 and 987.80

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Solution

The fourth proportional to 1,773.76, 2,447.68 and 987.80 is: 1,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.76 : 2,447.68 = 987.80 : x
  2. Step 2: Convert to fraction form
    1,773.76/2,447.68 = 987.80/x
  3. Step 3: Cross multiply
    1,773.76x = 2,447.68 × 987.80
  4. Step 4: Simplify right side
    1,773.76x = 2,417,818.30
  5. Step 5: Solve for x
    x = 2,417,818.30/1,773.76
  6. Step 6: Final answer
    x = 1,363.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.