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Finding the Fourth Proportional to 2,138.52, 2,949 and 1,901.76

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Solution

The fourth proportional to 2,138.52, 2,949 and 1,901.76 is: 2,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.52 : 2,949 = 1,901.76 : x
  2. Step 2: Convert to fraction form
    2,138.52/2,949 = 1,901.76/x
  3. Step 3: Cross multiply
    2,138.52x = 2,949 × 1,901.76
  4. Step 4: Simplify right side
    2,138.52x = 5,608,290.24
  5. Step 5: Solve for x
    x = 5,608,290.24/2,138.52
  6. Step 6: Final answer
    x = 2,622.51

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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.