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Finding the Fourth Proportional to 1,773.38, 2,447.11 and 1,027.10

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Solution

The fourth proportional to 1,773.38, 2,447.11 and 1,027.10 is: 1,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.38 : 2,447.11 = 1,027.10 : x
  2. Step 2: Convert to fraction form
    1,773.38/2,447.11 = 1,027.10/x
  3. Step 3: Cross multiply
    1,773.38x = 2,447.11 × 1,027.10
  4. Step 4: Simplify right side
    1,773.38x = 2,513,434.08
  5. Step 5: Solve for x
    x = 2,513,434.08/1,773.38
  6. Step 6: Final answer
    x = 1,417.31

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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.