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Finding the Fourth Proportional to 2,269.16, 3,402.68 and 807.92

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Solution

The fourth proportional to 2,269.16, 3,402.68 and 807.92 is: 1,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.16 : 3,402.68 = 807.92 : x
  2. Step 2: Convert to fraction form
    2,269.16/3,402.68 = 807.92/x
  3. Step 3: Cross multiply
    2,269.16x = 3,402.68 × 807.92
  4. Step 4: Simplify right side
    2,269.16x = 2,749,093.23
  5. Step 5: Solve for x
    x = 2,749,093.23/2,269.16
  6. Step 6: Final answer
    x = 1,211.50

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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.