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Finding the Fourth Proportional to 1,773.55, 2,447.49 and 987.58

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Solution

The fourth proportional to 1,773.55, 2,447.49 and 987.58 is: 1,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.55 : 2,447.49 = 987.58 : x
  2. Step 2: Convert to fraction form
    1,773.55/2,447.49 = 987.58/x
  3. Step 3: Cross multiply
    1,773.55x = 2,447.49 × 987.58
  4. Step 4: Simplify right side
    1,773.55x = 2,417,092.17
  5. Step 5: Solve for x
    x = 2,417,092.17/1,773.55
  6. Step 6: Final answer
    x = 1,362.86

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