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Finding the Fourth Proportional to 2,138.40, 2,952.45 and 1,578.89

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Solution

The fourth proportional to 2,138.40, 2,952.45 and 1,578.89 is: 2,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 2,952.45 = 1,578.89 : x
  2. Step 2: Convert to fraction form
    2,138.40/2,952.45 = 1,578.89/x
  3. Step 3: Cross multiply
    2,138.40x = 2,952.45 × 1,578.89
  4. Step 4: Simplify right side
    2,138.40x = 4,661,601.16
  5. Step 5: Solve for x
    x = 4,661,601.16/2,138.40
  6. Step 6: Final answer
    x = 2,179.95

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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.