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Finding the Fourth Proportional to 2,089.62, 2,882.90 and 1,250.34

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Solution

The fourth proportional to 2,089.62, 2,882.90 and 1,250.34 is: 1,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.62 : 2,882.90 = 1,250.34 : x
  2. Step 2: Convert to fraction form
    2,089.62/2,882.90 = 1,250.34/x
  3. Step 3: Cross multiply
    2,089.62x = 2,882.90 × 1,250.34
  4. Step 4: Simplify right side
    2,089.62x = 3,604,598.93
  5. Step 5: Solve for x
    x = 3,604,598.93/2,089.62
  6. Step 6: Final answer
    x = 1,725.00

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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.