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Finding the Fourth Proportional to 2,103.52, 3,136.88 and 2,053.84

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Solution

The fourth proportional to 2,103.52, 3,136.88 and 2,053.84 is: 3,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.52 : 3,136.88 = 2,053.84 : x
  2. Step 2: Convert to fraction form
    2,103.52/3,136.88 = 2,053.84/x
  3. Step 3: Cross multiply
    2,103.52x = 3,136.88 × 2,053.84
  4. Step 4: Simplify right side
    2,103.52x = 6,442,649.62
  5. Step 5: Solve for x
    x = 6,442,649.62/2,103.52
  6. Step 6: Final answer
    x = 3,062.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.