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Finding the Fourth Proportional to 2,167.57, 2,991.58 and 1,423.69

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Solution

The fourth proportional to 2,167.57, 2,991.58 and 1,423.69 is: 1,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.57 : 2,991.58 = 1,423.69 : x
  2. Step 2: Convert to fraction form
    2,167.57/2,991.58 = 1,423.69/x
  3. Step 3: Cross multiply
    2,167.57x = 2,991.58 × 1,423.69
  4. Step 4: Simplify right side
    2,167.57x = 4,259,082.53
  5. Step 5: Solve for x
    x = 4,259,082.53/2,167.57
  6. Step 6: Final answer
    x = 1,964.91

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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.