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Finding the Fourth Proportional to 2,344.87, 3,515.97 and 956.58

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Solution

The fourth proportional to 2,344.87, 3,515.97 and 956.58 is: 1,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.87 : 3,515.97 = 956.58 : x
  2. Step 2: Convert to fraction form
    2,344.87/3,515.97 = 956.58/x
  3. Step 3: Cross multiply
    2,344.87x = 3,515.97 × 956.58
  4. Step 4: Simplify right side
    2,344.87x = 3,363,284.22
  5. Step 5: Solve for x
    x = 3,363,284.22/2,344.87
  6. Step 6: Final answer
    x = 1,434.32

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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.