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Finding the Fourth Proportional to 2,339.24, 3,508.52 and 695.48

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Solution

The fourth proportional to 2,339.24, 3,508.52 and 695.48 is: 1,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.24 : 3,508.52 = 695.48 : x
  2. Step 2: Convert to fraction form
    2,339.24/3,508.52 = 695.48/x
  3. Step 3: Cross multiply
    2,339.24x = 3,508.52 × 695.48
  4. Step 4: Simplify right side
    2,339.24x = 2,440,105.49
  5. Step 5: Solve for x
    x = 2,440,105.49/2,339.24
  6. Step 6: Final answer
    x = 1,043.12

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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.