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Finding the Fourth Proportional to 2,373.69, 3,275.66 and 1,378.97

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Solution

The fourth proportional to 2,373.69, 3,275.66 and 1,378.97 is: 1,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.69 : 3,275.66 = 1,378.97 : x
  2. Step 2: Convert to fraction form
    2,373.69/3,275.66 = 1,378.97/x
  3. Step 3: Cross multiply
    2,373.69x = 3,275.66 × 1,378.97
  4. Step 4: Simplify right side
    2,373.69x = 4,517,036.87
  5. Step 5: Solve for x
    x = 4,517,036.87/2,373.69
  6. Step 6: Final answer
    x = 1,902.96

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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.