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Finding the Fourth Proportional to 2,326.33, 3,488.10 and 938.53

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Solution

The fourth proportional to 2,326.33, 3,488.10 and 938.53 is: 1,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.33 : 3,488.10 = 938.53 : x
  2. Step 2: Convert to fraction form
    2,326.33/3,488.10 = 938.53/x
  3. Step 3: Cross multiply
    2,326.33x = 3,488.10 × 938.53
  4. Step 4: Simplify right side
    2,326.33x = 3,273,686.49
  5. Step 5: Solve for x
    x = 3,273,686.49/2,326.33
  6. Step 6: Final answer
    x = 1,407.23

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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.