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Finding the Fourth Proportional to 2,047.41, 2,825.42 and 1,115.91

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Solution

The fourth proportional to 2,047.41, 2,825.42 and 1,115.91 is: 1,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.41 : 2,825.42 = 1,115.91 : x
  2. Step 2: Convert to fraction form
    2,047.41/2,825.42 = 1,115.91/x
  3. Step 3: Cross multiply
    2,047.41x = 2,825.42 × 1,115.91
  4. Step 4: Simplify right side
    2,047.41x = 3,152,917.22
  5. Step 5: Solve for x
    x = 3,152,917.22/2,047.41
  6. Step 6: Final answer
    x = 1,539.95

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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.