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Finding the Fourth Proportional to 2,732.49, 4,098.50 and 1,416.18

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Solution

The fourth proportional to 2,732.49, 4,098.50 and 1,416.18 is: 2,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.49 : 4,098.50 = 1,416.18 : x
  2. Step 2: Convert to fraction form
    2,732.49/4,098.50 = 1,416.18/x
  3. Step 3: Cross multiply
    2,732.49x = 4,098.50 × 1,416.18
  4. Step 4: Simplify right side
    2,732.49x = 5,804,206.65
  5. Step 5: Solve for x
    x = 5,804,206.65/2,732.49
  6. Step 6: Final answer
    x = 2,124.15

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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.