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Finding the Fourth Proportional to 2,670.39, 4,007.31 and 1,438.66

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Solution

The fourth proportional to 2,670.39, 4,007.31 and 1,438.66 is: 2,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.39 : 4,007.31 = 1,438.66 : x
  2. Step 2: Convert to fraction form
    2,670.39/4,007.31 = 1,438.66/x
  3. Step 3: Cross multiply
    2,670.39x = 4,007.31 × 1,438.66
  4. Step 4: Simplify right side
    2,670.39x = 5,765,162.29
  5. Step 5: Solve for x
    x = 5,765,162.29/2,670.39
  6. Step 6: Final answer
    x = 2,158.92

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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.