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Finding the Fourth Proportional to 2,577.72, 3,557.22 and 1,569.09

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Solution

The fourth proportional to 2,577.72, 3,557.22 and 1,569.09 is: 2,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.72 : 3,557.22 = 1,569.09 : x
  2. Step 2: Convert to fraction form
    2,577.72/3,557.22 = 1,569.09/x
  3. Step 3: Cross multiply
    2,577.72x = 3,557.22 × 1,569.09
  4. Step 4: Simplify right side
    2,577.72x = 5,581,605.79
  5. Step 5: Solve for x
    x = 5,581,605.79/2,577.72
  6. Step 6: Final answer
    x = 2,165.32

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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.