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Finding the Fourth Proportional to 2,814.70, 4,222.05 and 2,377.30

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Solution

The fourth proportional to 2,814.70, 4,222.05 and 2,377.30 is: 3,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.70 : 4,222.05 = 2,377.30 : x
  2. Step 2: Convert to fraction form
    2,814.70/4,222.05 = 2,377.30/x
  3. Step 3: Cross multiply
    2,814.70x = 4,222.05 × 2,377.30
  4. Step 4: Simplify right side
    2,814.70x = 10,037,079.47
  5. Step 5: Solve for x
    x = 10,037,079.47/2,814.70
  6. Step 6: Final answer
    x = 3,565.95

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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.