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Finding the Fourth Proportional to 2,572.16, 3,549.40 and 1,509.97

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Solution

The fourth proportional to 2,572.16, 3,549.40 and 1,509.97 is: 2,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.16 : 3,549.40 = 1,509.97 : x
  2. Step 2: Convert to fraction form
    2,572.16/3,549.40 = 1,509.97/x
  3. Step 3: Cross multiply
    2,572.16x = 3,549.40 × 1,509.97
  4. Step 4: Simplify right side
    2,572.16x = 5,359,477.42
  5. Step 5: Solve for x
    x = 5,359,477.42/2,572.16
  6. Step 6: Final answer
    x = 2,083.65

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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.