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Finding the Fourth Proportional to 2,374.22, 3,275.78 and 1,326.26

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Solution

The fourth proportional to 2,374.22, 3,275.78 and 1,326.26 is: 1,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.22 : 3,275.78 = 1,326.26 : x
  2. Step 2: Convert to fraction form
    2,374.22/3,275.78 = 1,326.26/x
  3. Step 3: Cross multiply
    2,374.22x = 3,275.78 × 1,326.26
  4. Step 4: Simplify right side
    2,374.22x = 4,344,535.98
  5. Step 5: Solve for x
    x = 4,344,535.98/2,374.22
  6. Step 6: Final answer
    x = 1,829.88

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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.