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Finding the Fourth Proportional to 1,773.47, 2,447.10 and 1,027.28

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Solution

The fourth proportional to 1,773.47, 2,447.10 and 1,027.28 is: 1,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.47 : 2,447.10 = 1,027.28 : x
  2. Step 2: Convert to fraction form
    1,773.47/2,447.10 = 1,027.28/x
  3. Step 3: Cross multiply
    1,773.47x = 2,447.10 × 1,027.28
  4. Step 4: Simplify right side
    1,773.47x = 2,513,856.89
  5. Step 5: Solve for x
    x = 2,513,856.89/1,773.47
  6. Step 6: Final answer
    x = 1,417.48

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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.