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Finding the Fourth Proportional to 2,269.59, 3,404.57 and 626.27

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Solution

The fourth proportional to 2,269.59, 3,404.57 and 626.27 is: 939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.59 : 3,404.57 = 626.27 : x
  2. Step 2: Convert to fraction form
    2,269.59/3,404.57 = 626.27/x
  3. Step 3: Cross multiply
    2,269.59x = 3,404.57 × 626.27
  4. Step 4: Simplify right side
    2,269.59x = 2,132,159.90
  5. Step 5: Solve for x
    x = 2,132,159.90/2,269.59
  6. Step 6: Final answer
    x = 939.45

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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.