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Finding the Fourth Proportional to 2,577.48, 3,862.44 and 1,600.62

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Solution

The fourth proportional to 2,577.48, 3,862.44 and 1,600.62 is: 2,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.48 : 3,862.44 = 1,600.62 : x
  2. Step 2: Convert to fraction form
    2,577.48/3,862.44 = 1,600.62/x
  3. Step 3: Cross multiply
    2,577.48x = 3,862.44 × 1,600.62
  4. Step 4: Simplify right side
    2,577.48x = 6,182,298.71
  5. Step 5: Solve for x
    x = 6,182,298.71/2,577.48
  6. Step 6: Final answer
    x = 2,398.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.