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Finding the Fourth Proportional to 2,743.67, 4,114.36 and 1,702.10

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Solution

The fourth proportional to 2,743.67, 4,114.36 and 1,702.10 is: 2,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.67 : 4,114.36 = 1,702.10 : x
  2. Step 2: Convert to fraction form
    2,743.67/4,114.36 = 1,702.10/x
  3. Step 3: Cross multiply
    2,743.67x = 4,114.36 × 1,702.10
  4. Step 4: Simplify right side
    2,743.67x = 7,003,058.19
  5. Step 5: Solve for x
    x = 7,003,058.19/2,743.67
  6. Step 6: Final answer
    x = 2,552.45

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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.