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Finding the Fourth Proportional to 4,268, 6,404.90 and 1,532

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Solution

The fourth proportional to 4,268, 6,404.90 and 1,532 is: 2,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268 : 6,404.90 = 1,532 : x
  2. Step 2: Convert to fraction form
    4,268/6,404.90 = 1,532/x
  3. Step 3: Cross multiply
    4,268x = 6,404.90 × 1,532
  4. Step 4: Simplify right side
    4,268x = 9,812,306.80
  5. Step 5: Solve for x
    x = 9,812,306.80/4,268
  6. Step 6: Final answer
    x = 2,299.04

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