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Finding the Fourth Proportional to 3,041.60, 4,562.40 and 733.10

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Solution

The fourth proportional to 3,041.60, 4,562.40 and 733.10 is: 1,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.60 : 4,562.40 = 733.10 : x
  2. Step 2: Convert to fraction form
    3,041.60/4,562.40 = 733.10/x
  3. Step 3: Cross multiply
    3,041.60x = 4,562.40 × 733.10
  4. Step 4: Simplify right side
    3,041.60x = 3,344,695.44
  5. Step 5: Solve for x
    x = 3,344,695.44/3,041.60
  6. Step 6: Final answer
    x = 1,099.65

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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.