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Finding the Fourth Proportional to 1,773.20, 2,447.02 and 1,027.30

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Solution

The fourth proportional to 1,773.20, 2,447.02 and 1,027.30 is: 1,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.20 : 2,447.02 = 1,027.30 : x
  2. Step 2: Convert to fraction form
    1,773.20/2,447.02 = 1,027.30/x
  3. Step 3: Cross multiply
    1,773.20x = 2,447.02 × 1,027.30
  4. Step 4: Simplify right side
    1,773.20x = 2,513,826.00
  5. Step 5: Solve for x
    x = 2,513,826.00/1,773.20
  6. Step 6: Final answer
    x = 1,417.68

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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.