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Finding the Fourth Proportional to 2,139.16, 3,208.26 and 752.08

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Solution

The fourth proportional to 2,139.16, 3,208.26 and 752.08 is: 1,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.16 : 3,208.26 = 752.08 : x
  2. Step 2: Convert to fraction form
    2,139.16/3,208.26 = 752.08/x
  3. Step 3: Cross multiply
    2,139.16x = 3,208.26 × 752.08
  4. Step 4: Simplify right side
    2,139.16x = 2,412,868.18
  5. Step 5: Solve for x
    x = 2,412,868.18/2,139.16
  6. Step 6: Final answer
    x = 1,127.95

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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.