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Finding the Fourth Proportional to 2,710.32, 3,742.20 and 1,781.52

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Solution

The fourth proportional to 2,710.32, 3,742.20 and 1,781.52 is: 2,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.32 : 3,742.20 = 1,781.52 : x
  2. Step 2: Convert to fraction form
    2,710.32/3,742.20 = 1,781.52/x
  3. Step 3: Cross multiply
    2,710.32x = 3,742.20 × 1,781.52
  4. Step 4: Simplify right side
    2,710.32x = 6,666,804.14
  5. Step 5: Solve for x
    x = 6,666,804.14/2,710.32
  6. Step 6: Final answer
    x = 2,459.78

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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.