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Finding the Fourth Proportional to 1,549.12, 2,322.59 and 574.96

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Solution

The fourth proportional to 1,549.12, 2,322.59 and 574.96 is: 862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.12 : 2,322.59 = 574.96 : x
  2. Step 2: Convert to fraction form
    1,549.12/2,322.59 = 574.96/x
  3. Step 3: Cross multiply
    1,549.12x = 2,322.59 × 574.96
  4. Step 4: Simplify right side
    1,549.12x = 1,335,384.73
  5. Step 5: Solve for x
    x = 1,335,384.73/1,549.12
  6. Step 6: Final answer
    x = 862.03

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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.