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Finding the Fourth Proportional to 1,549.18, 2,323.71 and 574.90

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Solution

The fourth proportional to 1,549.18, 2,323.71 and 574.90 is: 862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.18 : 2,323.71 = 574.90 : x
  2. Step 2: Convert to fraction form
    1,549.18/2,323.71 = 574.90/x
  3. Step 3: Cross multiply
    1,549.18x = 2,323.71 × 574.90
  4. Step 4: Simplify right side
    1,549.18x = 1,335,900.88
  5. Step 5: Solve for x
    x = 1,335,900.88/1,549.18
  6. Step 6: Final answer
    x = 862.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.