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Finding the Fourth Proportional to 2,167.90, 2,989.81 and 1,748.13

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Solution

The fourth proportional to 2,167.90, 2,989.81 and 1,748.13 is: 2,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.90 : 2,989.81 = 1,748.13 : x
  2. Step 2: Convert to fraction form
    2,167.90/2,989.81 = 1,748.13/x
  3. Step 3: Cross multiply
    2,167.90x = 2,989.81 × 1,748.13
  4. Step 4: Simplify right side
    2,167.90x = 5,226,576.56
  5. Step 5: Solve for x
    x = 5,226,576.56/2,167.90
  6. Step 6: Final answer
    x = 2,410.89

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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.