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Finding the Fourth Proportional to 2,818.80, 3,890.16 and 1,770.66

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Solution

The fourth proportional to 2,818.80, 3,890.16 and 1,770.66 is: 2,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.80 : 3,890.16 = 1,770.66 : x
  2. Step 2: Convert to fraction form
    2,818.80/3,890.16 = 1,770.66/x
  3. Step 3: Cross multiply
    2,818.80x = 3,890.16 × 1,770.66
  4. Step 4: Simplify right side
    2,818.80x = 6,888,150.71
  5. Step 5: Solve for x
    x = 6,888,150.71/2,818.80
  6. Step 6: Final answer
    x = 2,443.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.