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Finding the Fourth Proportional to 2,352.78, 3,246.72 and 1,304.82

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Solution

The fourth proportional to 2,352.78, 3,246.72 and 1,304.82 is: 1,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.78 : 3,246.72 = 1,304.82 : x
  2. Step 2: Convert to fraction form
    2,352.78/3,246.72 = 1,304.82/x
  3. Step 3: Cross multiply
    2,352.78x = 3,246.72 × 1,304.82
  4. Step 4: Simplify right side
    2,352.78x = 4,236,385.19
  5. Step 5: Solve for x
    x = 4,236,385.19/2,352.78
  6. Step 6: Final answer
    x = 1,800.59

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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.