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Finding the Fourth Proportional to 2,092.90, 2,885.34 and 1,532.38

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Solution

The fourth proportional to 2,092.90, 2,885.34 and 1,532.38 is: 2,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.90 : 2,885.34 = 1,532.38 : x
  2. Step 2: Convert to fraction form
    2,092.90/2,885.34 = 1,532.38/x
  3. Step 3: Cross multiply
    2,092.90x = 2,885.34 × 1,532.38
  4. Step 4: Simplify right side
    2,092.90x = 4,421,437.31
  5. Step 5: Solve for x
    x = 4,421,437.31/2,092.90
  6. Step 6: Final answer
    x = 2,112.59

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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.