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Finding the Fourth Proportional to 2,046.57, 2,824.29 and 1,115.07

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Solution

The fourth proportional to 2,046.57, 2,824.29 and 1,115.07 is: 1,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.57 : 2,824.29 = 1,115.07 : x
  2. Step 2: Convert to fraction form
    2,046.57/2,824.29 = 1,115.07/x
  3. Step 3: Cross multiply
    2,046.57x = 2,824.29 × 1,115.07
  4. Step 4: Simplify right side
    2,046.57x = 3,149,281.05
  5. Step 5: Solve for x
    x = 3,149,281.05/2,046.57
  6. Step 6: Final answer
    x = 1,538.81

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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.