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Finding the Fourth Proportional to 4,494.69, 6,742.98 and 1,532.90

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Solution

The fourth proportional to 4,494.69, 6,742.98 and 1,532.90 is: 2,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.69 : 6,742.98 = 1,532.90 : x
  2. Step 2: Convert to fraction form
    4,494.69/6,742.98 = 1,532.90/x
  3. Step 3: Cross multiply
    4,494.69x = 6,742.98 × 1,532.90
  4. Step 4: Simplify right side
    4,494.69x = 10,336,330.90
  5. Step 5: Solve for x
    x = 10,336,330.90/4,494.69
  6. Step 6: Final answer
    x = 2,299.68

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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.