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Finding the Fourth Proportional to 2,540.82, 3,810.45 and 980.70

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Solution

The fourth proportional to 2,540.82, 3,810.45 and 980.70 is: 1,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.82 : 3,810.45 = 980.70 : x
  2. Step 2: Convert to fraction form
    2,540.82/3,810.45 = 980.70/x
  3. Step 3: Cross multiply
    2,540.82x = 3,810.45 × 980.70
  4. Step 4: Simplify right side
    2,540.82x = 3,736,908.32
  5. Step 5: Solve for x
    x = 3,736,908.32/2,540.82
  6. Step 6: Final answer
    x = 1,470.75

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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.