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Finding the Fourth Proportional to 2,049.32, 2,828.05 and 1,117.82

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Solution

The fourth proportional to 2,049.32, 2,828.05 and 1,117.82 is: 1,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.32 : 2,828.05 = 1,117.82 : x
  2. Step 2: Convert to fraction form
    2,049.32/2,828.05 = 1,117.82/x
  3. Step 3: Cross multiply
    2,049.32x = 2,828.05 × 1,117.82
  4. Step 4: Simplify right side
    2,049.32x = 3,161,250.85
  5. Step 5: Solve for x
    x = 3,161,250.85/2,049.32
  6. Step 6: Final answer
    x = 1,542.59

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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.