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Finding the Fourth Proportional to 1,549.74, 2,323.20 and 575.58

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Solution

The fourth proportional to 1,549.74, 2,323.20 and 575.58 is: 862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.74 : 2,323.20 = 575.58 : x
  2. Step 2: Convert to fraction form
    1,549.74/2,323.20 = 575.58/x
  3. Step 3: Cross multiply
    1,549.74x = 2,323.20 × 575.58
  4. Step 4: Simplify right side
    1,549.74x = 1,337,187.46
  5. Step 5: Solve for x
    x = 1,337,187.46/1,549.74
  6. Step 6: Final answer
    x = 862.85

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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.