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Finding the Fourth Proportional to 3,167.40, 4,752.90 and 1,219.71

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Solution

The fourth proportional to 3,167.40, 4,752.90 and 1,219.71 is: 1,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.40 : 4,752.90 = 1,219.71 : x
  2. Step 2: Convert to fraction form
    3,167.40/4,752.90 = 1,219.71/x
  3. Step 3: Cross multiply
    3,167.40x = 4,752.90 × 1,219.71
  4. Step 4: Simplify right side
    3,167.40x = 5,797,159.66
  5. Step 5: Solve for x
    x = 5,797,159.66/3,167.40
  6. Step 6: Final answer
    x = 1,830.26

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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.