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Finding the Fourth Proportional to 2,506.68, 3,456.96 and 2,061.96

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Solution

The fourth proportional to 2,506.68, 3,456.96 and 2,061.96 is: 2,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.68 : 3,456.96 = 2,061.96 : x
  2. Step 2: Convert to fraction form
    2,506.68/3,456.96 = 2,061.96/x
  3. Step 3: Cross multiply
    2,506.68x = 3,456.96 × 2,061.96
  4. Step 4: Simplify right side
    2,506.68x = 7,128,113.24
  5. Step 5: Solve for x
    x = 7,128,113.24/2,506.68
  6. Step 6: Final answer
    x = 2,843.65

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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.