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Finding the Fourth Proportional to 2,077.65, 3,114.05 and 980.51

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Solution

The fourth proportional to 2,077.65, 3,114.05 and 980.51 is: 1,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.65 : 3,114.05 = 980.51 : x
  2. Step 2: Convert to fraction form
    2,077.65/3,114.05 = 980.51/x
  3. Step 3: Cross multiply
    2,077.65x = 3,114.05 × 980.51
  4. Step 4: Simplify right side
    2,077.65x = 3,053,336.69
  5. Step 5: Solve for x
    x = 3,053,336.69/2,077.65
  6. Step 6: Final answer
    x = 1,469.61

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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.