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Finding the Fourth Proportional to 1,549.64, 2,324.88 and 575.84

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Solution

The fourth proportional to 1,549.64, 2,324.88 and 575.84 is: 863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.64 : 2,324.88 = 575.84 : x
  2. Step 2: Convert to fraction form
    1,549.64/2,324.88 = 575.84/x
  3. Step 3: Cross multiply
    1,549.64x = 2,324.88 × 575.84
  4. Step 4: Simplify right side
    1,549.64x = 1,338,758.90
  5. Step 5: Solve for x
    x = 1,338,758.90/1,549.64
  6. Step 6: Final answer
    x = 863.92

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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.