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Finding the Fourth Proportional to 2,770.74, 4,155.30 and 2,282.58

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Solution

The fourth proportional to 2,770.74, 4,155.30 and 2,282.58 is: 3,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.74 : 4,155.30 = 2,282.58 : x
  2. Step 2: Convert to fraction form
    2,770.74/4,155.30 = 2,282.58/x
  3. Step 3: Cross multiply
    2,770.74x = 4,155.30 × 2,282.58
  4. Step 4: Simplify right side
    2,770.74x = 9,484,804.67
  5. Step 5: Solve for x
    x = 9,484,804.67/2,770.74
  6. Step 6: Final answer
    x = 3,423.20

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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.