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Finding the Fourth Proportional to 2,572.88, 3,549.66 and 1,577.08

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Solution

The fourth proportional to 2,572.88, 3,549.66 and 1,577.08 is: 2,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.88 : 3,549.66 = 1,577.08 : x
  2. Step 2: Convert to fraction form
    2,572.88/3,549.66 = 1,577.08/x
  3. Step 3: Cross multiply
    2,572.88x = 3,549.66 × 1,577.08
  4. Step 4: Simplify right side
    2,572.88x = 5,598,096.32
  5. Step 5: Solve for x
    x = 5,598,096.32/2,572.88
  6. Step 6: Final answer
    x = 2,175.81

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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.