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Finding the Fourth Proportional to 1,773.24, 2,446.92 and 987.30

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Solution

The fourth proportional to 1,773.24, 2,446.92 and 987.30 is: 1,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.24 : 2,446.92 = 987.30 : x
  2. Step 2: Convert to fraction form
    1,773.24/2,446.92 = 987.30/x
  3. Step 3: Cross multiply
    1,773.24x = 2,446.92 × 987.30
  4. Step 4: Simplify right side
    1,773.24x = 2,415,844.12
  5. Step 5: Solve for x
    x = 2,415,844.12/1,773.24
  6. Step 6: Final answer
    x = 1,362.39

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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.