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Finding the Fourth Proportional to 3,374.97, 4,657.47 and 1,882.83

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Solution

The fourth proportional to 3,374.97, 4,657.47 and 1,882.83 is: 2,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.97 : 4,657.47 = 1,882.83 : x
  2. Step 2: Convert to fraction form
    3,374.97/4,657.47 = 1,882.83/x
  3. Step 3: Cross multiply
    3,374.97x = 4,657.47 × 1,882.83
  4. Step 4: Simplify right side
    3,374.97x = 8,769,224.24
  5. Step 5: Solve for x
    x = 8,769,224.24/3,374.97
  6. Step 6: Final answer
    x = 2,598.31

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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.