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Finding the Fourth Proportional to 2,429.57, 3,353.12 and 1,767.08

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Solution

The fourth proportional to 2,429.57, 3,353.12 and 1,767.08 is: 2,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.57 : 3,353.12 = 1,767.08 : x
  2. Step 2: Convert to fraction form
    2,429.57/3,353.12 = 1,767.08/x
  3. Step 3: Cross multiply
    2,429.57x = 3,353.12 × 1,767.08
  4. Step 4: Simplify right side
    2,429.57x = 5,925,205.69
  5. Step 5: Solve for x
    x = 5,925,205.69/2,429.57
  6. Step 6: Final answer
    x = 2,438.79

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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.