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Finding the Fourth Proportional to 1,909.66, 2,864.76 and 611.14

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Solution

The fourth proportional to 1,909.66, 2,864.76 and 611.14 is: 916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.66 : 2,864.76 = 611.14 : x
  2. Step 2: Convert to fraction form
    1,909.66/2,864.76 = 611.14/x
  3. Step 3: Cross multiply
    1,909.66x = 2,864.76 × 611.14
  4. Step 4: Simplify right side
    1,909.66x = 1,750,769.43
  5. Step 5: Solve for x
    x = 1,750,769.43/1,909.66
  6. Step 6: Final answer
    x = 916.80

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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.