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Finding the Fourth Proportional to 2,347.97, 3,522.15 and 616.59

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Solution

The fourth proportional to 2,347.97, 3,522.15 and 616.59 is: 924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.97 : 3,522.15 = 616.59 : x
  2. Step 2: Convert to fraction form
    2,347.97/3,522.15 = 616.59/x
  3. Step 3: Cross multiply
    2,347.97x = 3,522.15 × 616.59
  4. Step 4: Simplify right side
    2,347.97x = 2,171,722.47
  5. Step 5: Solve for x
    x = 2,171,722.47/2,347.97
  6. Step 6: Final answer
    x = 924.94

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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.