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Finding the Fourth Proportional to 1,909.65, 2,864.42 and 611.10

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Solution

The fourth proportional to 1,909.65, 2,864.42 and 611.10 is: 916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.65 : 2,864.42 = 611.10 : x
  2. Step 2: Convert to fraction form
    1,909.65/2,864.42 = 611.10/x
  3. Step 3: Cross multiply
    1,909.65x = 2,864.42 × 611.10
  4. Step 4: Simplify right side
    1,909.65x = 1,750,429.68
  5. Step 5: Solve for x
    x = 1,750,429.68/1,909.65
  6. Step 6: Final answer
    x = 916.63

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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.