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Finding the Fourth Proportional to 2,577.38, 3,866.88 and 1,017.32

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Solution

The fourth proportional to 2,577.38, 3,866.88 and 1,017.32 is: 1,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.38 : 3,866.88 = 1,017.32 : x
  2. Step 2: Convert to fraction form
    2,577.38/3,866.88 = 1,017.32/x
  3. Step 3: Cross multiply
    2,577.38x = 3,866.88 × 1,017.32
  4. Step 4: Simplify right side
    2,577.38x = 3,933,854.36
  5. Step 5: Solve for x
    x = 3,933,854.36/2,577.38
  6. Step 6: Final answer
    x = 1,526.30

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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.