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Finding the Fourth Proportional to 2,339.78, 3,510.48 and 952.70

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Solution

The fourth proportional to 2,339.78, 3,510.48 and 952.70 is: 1,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.78 : 3,510.48 = 952.70 : x
  2. Step 2: Convert to fraction form
    2,339.78/3,510.48 = 952.70/x
  3. Step 3: Cross multiply
    2,339.78x = 3,510.48 × 952.70
  4. Step 4: Simplify right side
    2,339.78x = 3,344,434.30
  5. Step 5: Solve for x
    x = 3,344,434.30/2,339.78
  6. Step 6: Final answer
    x = 1,429.38

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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.