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Finding the Fourth Proportional to 2,084.85, 2,876.90 and 1,245.39

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Solution

The fourth proportional to 2,084.85, 2,876.90 and 1,245.39 is: 1,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.85 : 2,876.90 = 1,245.39 : x
  2. Step 2: Convert to fraction form
    2,084.85/2,876.90 = 1,245.39/x
  3. Step 3: Cross multiply
    2,084.85x = 2,876.90 × 1,245.39
  4. Step 4: Simplify right side
    2,084.85x = 3,582,856.26
  5. Step 5: Solve for x
    x = 3,582,856.26/2,084.85
  6. Step 6: Final answer
    x = 1,718.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.