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Finding the Fourth Proportional to 2,732.48, 4,098.74 and 1,695.50

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Solution

The fourth proportional to 2,732.48, 4,098.74 and 1,695.50 is: 2,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.48 : 4,098.74 = 1,695.50 : x
  2. Step 2: Convert to fraction form
    2,732.48/4,098.74 = 1,695.50/x
  3. Step 3: Cross multiply
    2,732.48x = 4,098.74 × 1,695.50
  4. Step 4: Simplify right side
    2,732.48x = 6,949,384.70
  5. Step 5: Solve for x
    x = 6,949,384.70/2,732.48
  6. Step 6: Final answer
    x = 2,543.26

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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.