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Finding the Fourth Proportional to 2,702.86, 4,048.67 and 2,374.20

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Solution

The fourth proportional to 2,702.86, 4,048.67 and 2,374.20 is: 3,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.86 : 4,048.67 = 2,374.20 : x
  2. Step 2: Convert to fraction form
    2,702.86/4,048.67 = 2,374.20/x
  3. Step 3: Cross multiply
    2,702.86x = 4,048.67 × 2,374.20
  4. Step 4: Simplify right side
    2,702.86x = 9,612,340.44
  5. Step 5: Solve for x
    x = 9,612,340.44/2,702.86
  6. Step 6: Final answer
    x = 3,556.37

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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.