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Finding the Fourth Proportional to 1,909.57, 2,863.46 and 740.13

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Solution

The fourth proportional to 1,909.57, 2,863.46 and 740.13 is: 1,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.57 : 2,863.46 = 740.13 : x
  2. Step 2: Convert to fraction form
    1,909.57/2,863.46 = 740.13/x
  3. Step 3: Cross multiply
    1,909.57x = 2,863.46 × 740.13
  4. Step 4: Simplify right side
    1,909.57x = 2,119,332.65
  5. Step 5: Solve for x
    x = 2,119,332.65/1,909.57
  6. Step 6: Final answer
    x = 1,109.85

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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.