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Finding the Fourth Proportional to 2,572.60, 3,858.90 and 929.20

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Solution

The fourth proportional to 2,572.60, 3,858.90 and 929.20 is: 1,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.60 : 3,858.90 = 929.20 : x
  2. Step 2: Convert to fraction form
    2,572.60/3,858.90 = 929.20/x
  3. Step 3: Cross multiply
    2,572.60x = 3,858.90 × 929.20
  4. Step 4: Simplify right side
    2,572.60x = 3,585,689.88
  5. Step 5: Solve for x
    x = 3,585,689.88/2,572.60
  6. Step 6: Final answer
    x = 1,393.80

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Similar ratio
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1.5x scale

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.