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Finding the Fourth Proportional to 1,801.17, 2,702.40 and 876.24

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Solution

The fourth proportional to 1,801.17, 2,702.40 and 876.24 is: 1,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.17 : 2,702.40 = 876.24 : x
  2. Step 2: Convert to fraction form
    1,801.17/2,702.40 = 876.24/x
  3. Step 3: Cross multiply
    1,801.17x = 2,702.40 × 876.24
  4. Step 4: Simplify right side
    1,801.17x = 2,367,950.98
  5. Step 5: Solve for x
    x = 2,367,950.98/1,801.17
  6. Step 6: Final answer
    x = 1,314.67

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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.