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Finding the Fourth Proportional to 3,415.23, 4,711.55 and 1,959.23

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Solution

The fourth proportional to 3,415.23, 4,711.55 and 1,959.23 is: 2,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.23 : 4,711.55 = 1,959.23 : x
  2. Step 2: Convert to fraction form
    3,415.23/4,711.55 = 1,959.23/x
  3. Step 3: Cross multiply
    3,415.23x = 4,711.55 × 1,959.23
  4. Step 4: Simplify right side
    3,415.23x = 9,231,010.11
  5. Step 5: Solve for x
    x = 9,231,010.11/3,415.23
  6. Step 6: Final answer
    x = 2,702.90

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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.