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Finding the Fourth Proportional to 2,104.13, 3,156.20 and 565.13

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Solution

The fourth proportional to 2,104.13, 3,156.20 and 565.13 is: 847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.13 : 3,156.20 = 565.13 : x
  2. Step 2: Convert to fraction form
    2,104.13/3,156.20 = 565.13/x
  3. Step 3: Cross multiply
    2,104.13x = 3,156.20 × 565.13
  4. Step 4: Simplify right side
    2,104.13x = 1,783,644.70
  5. Step 5: Solve for x
    x = 1,783,644.70/2,104.13
  6. Step 6: Final answer
    x = 847.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.