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Finding the Fourth Proportional to 2,702.50, 4,050.87 and 1,402.18

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Solution

The fourth proportional to 2,702.50, 4,050.87 and 1,402.18 is: 2,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.50 : 4,050.87 = 1,402.18 : x
  2. Step 2: Convert to fraction form
    2,702.50/4,050.87 = 1,402.18/x
  3. Step 3: Cross multiply
    2,702.50x = 4,050.87 × 1,402.18
  4. Step 4: Simplify right side
    2,702.50x = 5,680,048.90
  5. Step 5: Solve for x
    x = 5,680,048.90/2,702.50
  6. Step 6: Final answer
    x = 2,101.78

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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.