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Finding the Fourth Proportional to 3,402.64, 4,695.98 and 2,077.23

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Solution

The fourth proportional to 3,402.64, 4,695.98 and 2,077.23 is: 2,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.64 : 4,695.98 = 2,077.23 : x
  2. Step 2: Convert to fraction form
    3,402.64/4,695.98 = 2,077.23/x
  3. Step 3: Cross multiply
    3,402.64x = 4,695.98 × 2,077.23
  4. Step 4: Simplify right side
    3,402.64x = 9,754,630.54
  5. Step 5: Solve for x
    x = 9,754,630.54/3,402.64
  6. Step 6: Final answer
    x = 2,866.78

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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.