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Finding the Fourth Proportional to 2,089.96, 2,882.48 and 1,344

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Solution

The fourth proportional to 2,089.96, 2,882.48 and 1,344 is: 1,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.96 : 2,882.48 = 1,344 : x
  2. Step 2: Convert to fraction form
    2,089.96/2,882.48 = 1,344/x
  3. Step 3: Cross multiply
    2,089.96x = 2,882.48 × 1,344
  4. Step 4: Simplify right side
    2,089.96x = 3,874,053.12
  5. Step 5: Solve for x
    x = 3,874,053.12/2,089.96
  6. Step 6: Final answer
    x = 1,853.65

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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.