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Finding the Fourth Proportional to 2,702.36, 4,034.00 and 2,374.31

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Solution

The fourth proportional to 2,702.36, 4,034.00 and 2,374.31 is: 3,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.36 : 4,034.00 = 2,374.31 : x
  2. Step 2: Convert to fraction form
    2,702.36/4,034.00 = 2,374.31/x
  3. Step 3: Cross multiply
    2,702.36x = 4,034.00 × 2,374.31
  4. Step 4: Simplify right side
    2,702.36x = 9,577,982.56
  5. Step 5: Solve for x
    x = 9,577,982.56/2,702.36
  6. Step 6: Final answer
    x = 3,544.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.