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Finding the Fourth Proportional to 2,376.47, 3,274.15 and 1,657.96

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Solution

The fourth proportional to 2,376.47, 3,274.15 and 1,657.96 is: 2,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.47 : 3,274.15 = 1,657.96 : x
  2. Step 2: Convert to fraction form
    2,376.47/3,274.15 = 1,657.96/x
  3. Step 3: Cross multiply
    2,376.47x = 3,274.15 × 1,657.96
  4. Step 4: Simplify right side
    2,376.47x = 5,428,409.73
  5. Step 5: Solve for x
    x = 5,428,409.73/2,376.47
  6. Step 6: Final answer
    x = 2,284.23

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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.