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Finding the Fourth Proportional to 2,076.87, 3,113.76 and 980.61

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Solution

The fourth proportional to 2,076.87, 3,113.76 and 980.61 is: 1,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.87 : 3,113.76 = 980.61 : x
  2. Step 2: Convert to fraction form
    2,076.87/3,113.76 = 980.61/x
  3. Step 3: Cross multiply
    2,076.87x = 3,113.76 × 980.61
  4. Step 4: Simplify right side
    2,076.87x = 3,053,384.19
  5. Step 5: Solve for x
    x = 3,053,384.19/2,076.87
  6. Step 6: Final answer
    x = 1,470.19

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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.