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Finding the Fourth Proportional to 1,937.92, 2,674.38 and 1,098.58

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Solution

The fourth proportional to 1,937.92, 2,674.38 and 1,098.58 is: 1,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.92 : 2,674.38 = 1,098.58 : x
  2. Step 2: Convert to fraction form
    1,937.92/2,674.38 = 1,098.58/x
  3. Step 3: Cross multiply
    1,937.92x = 2,674.38 × 1,098.58
  4. Step 4: Simplify right side
    1,937.92x = 2,938,020.38
  5. Step 5: Solve for x
    x = 2,938,020.38/1,937.92
  6. Step 6: Final answer
    x = 1,516.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.