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Finding the Fourth Proportional to 2,057.42, 2,839.29 and 1,125.92

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Solution

The fourth proportional to 2,057.42, 2,839.29 and 1,125.92 is: 1,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.42 : 2,839.29 = 1,125.92 : x
  2. Step 2: Convert to fraction form
    2,057.42/2,839.29 = 1,125.92/x
  3. Step 3: Cross multiply
    2,057.42x = 2,839.29 × 1,125.92
  4. Step 4: Simplify right side
    2,057.42x = 3,196,813.40
  5. Step 5: Solve for x
    x = 3,196,813.40/2,057.42
  6. Step 6: Final answer
    x = 1,553.80

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