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Finding the Fourth Proportional to 2,404.84, 3,607.26 and 865.80

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Solution

The fourth proportional to 2,404.84, 3,607.26 and 865.80 is: 1,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.84 : 3,607.26 = 865.80 : x
  2. Step 2: Convert to fraction form
    2,404.84/3,607.26 = 865.80/x
  3. Step 3: Cross multiply
    2,404.84x = 3,607.26 × 865.80
  4. Step 4: Simplify right side
    2,404.84x = 3,123,165.71
  5. Step 5: Solve for x
    x = 3,123,165.71/2,404.84
  6. Step 6: Final answer
    x = 1,298.70

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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.