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Finding the Fourth Proportional to 1,869.66, 2,798.82 and 1,136.88

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Solution

The fourth proportional to 1,869.66, 2,798.82 and 1,136.88 is: 1,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.66 : 2,798.82 = 1,136.88 : x
  2. Step 2: Convert to fraction form
    1,869.66/2,798.82 = 1,136.88/x
  3. Step 3: Cross multiply
    1,869.66x = 2,798.82 × 1,136.88
  4. Step 4: Simplify right side
    1,869.66x = 3,181,922.48
  5. Step 5: Solve for x
    x = 3,181,922.48/1,869.66
  6. Step 6: Final answer
    x = 1,701.87

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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.