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Finding the Fourth Proportional to 1,800.52, 2,701.56 and 876.88

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Solution

The fourth proportional to 1,800.52, 2,701.56 and 876.88 is: 1,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.52 : 2,701.56 = 876.88 : x
  2. Step 2: Convert to fraction form
    1,800.52/2,701.56 = 876.88/x
  3. Step 3: Cross multiply
    1,800.52x = 2,701.56 × 876.88
  4. Step 4: Simplify right side
    1,800.52x = 2,368,943.93
  5. Step 5: Solve for x
    x = 2,368,943.93/1,800.52
  6. Step 6: Final answer
    x = 1,315.70

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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.