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Finding the Fourth Proportional to 1,549.02, 2,322.92 and 574.89

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Solution

The fourth proportional to 1,549.02, 2,322.92 and 574.89 is: 862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.02 : 2,322.92 = 574.89 : x
  2. Step 2: Convert to fraction form
    1,549.02/2,322.92 = 574.89/x
  3. Step 3: Cross multiply
    1,549.02x = 2,322.92 × 574.89
  4. Step 4: Simplify right side
    1,549.02x = 1,335,420.60
  5. Step 5: Solve for x
    x = 1,335,420.60/1,549.02
  6. Step 6: Final answer
    x = 862.11

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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.