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Finding the Fourth Proportional to 2,076.58, 3,112.71 and 980.11

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Solution

The fourth proportional to 2,076.58, 3,112.71 and 980.11 is: 1,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.58 : 3,112.71 = 980.11 : x
  2. Step 2: Convert to fraction form
    2,076.58/3,112.71 = 980.11/x
  3. Step 3: Cross multiply
    2,076.58x = 3,112.71 × 980.11
  4. Step 4: Simplify right side
    2,076.58x = 3,050,798.20
  5. Step 5: Solve for x
    x = 3,050,798.20/2,076.58
  6. Step 6: Final answer
    x = 1,469.15

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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.