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Finding the Fourth Proportional to 2,920.82, 4,375.94 and 2,506.10

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Solution

The fourth proportional to 2,920.82, 4,375.94 and 2,506.10 is: 3,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.82 : 4,375.94 = 2,506.10 : x
  2. Step 2: Convert to fraction form
    2,920.82/4,375.94 = 2,506.10/x
  3. Step 3: Cross multiply
    2,920.82x = 4,375.94 × 2,506.10
  4. Step 4: Simplify right side
    2,920.82x = 10,966,543.23
  5. Step 5: Solve for x
    x = 10,966,543.23/2,920.82
  6. Step 6: Final answer
    x = 3,754.61

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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.