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Finding the Fourth Proportional to 2,647.85, 3,970.51 and 980.83

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Solution

The fourth proportional to 2,647.85, 3,970.51 and 980.83 is: 1,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.85 : 3,970.51 = 980.83 : x
  2. Step 2: Convert to fraction form
    2,647.85/3,970.51 = 980.83/x
  3. Step 3: Cross multiply
    2,647.85x = 3,970.51 × 980.83
  4. Step 4: Simplify right side
    2,647.85x = 3,894,411.76
  5. Step 5: Solve for x
    x = 3,894,411.76/2,647.85
  6. Step 6: Final answer
    x = 1,470.78

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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.