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Finding the Fourth Proportional to 2,876.96, 4,310.32 and 1,207.40

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Solution

The fourth proportional to 2,876.96, 4,310.32 and 1,207.40 is: 1,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.96 : 4,310.32 = 1,207.40 : x
  2. Step 2: Convert to fraction form
    2,876.96/4,310.32 = 1,207.40/x
  3. Step 3: Cross multiply
    2,876.96x = 4,310.32 × 1,207.40
  4. Step 4: Simplify right side
    2,876.96x = 5,204,280.37
  5. Step 5: Solve for x
    x = 5,204,280.37/2,876.96
  6. Step 6: Final answer
    x = 1,808.95

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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.