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Finding the Fourth Proportional to 1,882.70, 2,820.27 and 1,059.74

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Solution

The fourth proportional to 1,882.70, 2,820.27 and 1,059.74 is: 1,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.70 : 2,820.27 = 1,059.74 : x
  2. Step 2: Convert to fraction form
    1,882.70/2,820.27 = 1,059.74/x
  3. Step 3: Cross multiply
    1,882.70x = 2,820.27 × 1,059.74
  4. Step 4: Simplify right side
    1,882.70x = 2,988,752.93
  5. Step 5: Solve for x
    x = 2,988,752.93/1,882.70
  6. Step 6: Final answer
    x = 1,587.48

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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.