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Finding the Fourth Proportional to 2,304.74, 3,456.61 and 1,427.22

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Solution

The fourth proportional to 2,304.74, 3,456.61 and 1,427.22 is: 2,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.74 : 3,456.61 = 1,427.22 : x
  2. Step 2: Convert to fraction form
    2,304.74/3,456.61 = 1,427.22/x
  3. Step 3: Cross multiply
    2,304.74x = 3,456.61 × 1,427.22
  4. Step 4: Simplify right side
    2,304.74x = 4,933,339.36
  5. Step 5: Solve for x
    x = 4,933,339.36/2,304.74
  6. Step 6: Final answer
    x = 2,140.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.