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Finding the Fourth Proportional to 2,079.80, 3,116.98 and 845.76

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Solution

The fourth proportional to 2,079.80, 3,116.98 and 845.76 is: 1,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.80 : 3,116.98 = 845.76 : x
  2. Step 2: Convert to fraction form
    2,079.80/3,116.98 = 845.76/x
  3. Step 3: Cross multiply
    2,079.80x = 3,116.98 × 845.76
  4. Step 4: Simplify right side
    2,079.80x = 2,636,217.00
  5. Step 5: Solve for x
    x = 2,636,217.00/2,079.80
  6. Step 6: Final answer
    x = 1,267.53

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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.