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Finding the Fourth Proportional to 2,339.34, 3,508.92 and 952.29

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Solution

The fourth proportional to 2,339.34, 3,508.92 and 952.29 is: 1,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.34 : 3,508.92 = 952.29 : x
  2. Step 2: Convert to fraction form
    2,339.34/3,508.92 = 952.29/x
  3. Step 3: Cross multiply
    2,339.34x = 3,508.92 × 952.29
  4. Step 4: Simplify right side
    2,339.34x = 3,341,509.43
  5. Step 5: Solve for x
    x = 3,341,509.43/2,339.34
  6. Step 6: Final answer
    x = 1,428.40

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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.