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Finding the Fourth Proportional to 2,266.92, 3,125.66 and 2,057.13

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Solution

The fourth proportional to 2,266.92, 3,125.66 and 2,057.13 is: 2,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.92 : 3,125.66 = 2,057.13 : x
  2. Step 2: Convert to fraction form
    2,266.92/3,125.66 = 2,057.13/x
  3. Step 3: Cross multiply
    2,266.92x = 3,125.66 × 2,057.13
  4. Step 4: Simplify right side
    2,266.92x = 6,429,878.67
  5. Step 5: Solve for x
    x = 6,429,878.67/2,266.92
  6. Step 6: Final answer
    x = 2,836.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.