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Finding the Fourth Proportional to 2,438.74, 3,364.59 and 1,494.19

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Solution

The fourth proportional to 2,438.74, 3,364.59 and 1,494.19 is: 2,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.74 : 3,364.59 = 1,494.19 : x
  2. Step 2: Convert to fraction form
    2,438.74/3,364.59 = 1,494.19/x
  3. Step 3: Cross multiply
    2,438.74x = 3,364.59 × 1,494.19
  4. Step 4: Simplify right side
    2,438.74x = 5,027,336.73
  5. Step 5: Solve for x
    x = 5,027,336.73/2,438.74
  6. Step 6: Final answer
    x = 2,061.45

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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.