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Finding the Fourth Proportional to 2,571.95, 3,549.42 and 1,452.94

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Solution

The fourth proportional to 2,571.95, 3,549.42 and 1,452.94 is: 2,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.95 : 3,549.42 = 1,452.94 : x
  2. Step 2: Convert to fraction form
    2,571.95/3,549.42 = 1,452.94/x
  3. Step 3: Cross multiply
    2,571.95x = 3,549.42 × 1,452.94
  4. Step 4: Simplify right side
    2,571.95x = 5,157,085.42
  5. Step 5: Solve for x
    x = 5,157,085.42/2,571.95
  6. Step 6: Final answer
    x = 2,005.12

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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.