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Finding the Fourth Proportional to 2,138.47, 3,208.13 and 751.95

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Solution

The fourth proportional to 2,138.47, 3,208.13 and 751.95 is: 1,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.47 : 3,208.13 = 751.95 : x
  2. Step 2: Convert to fraction form
    2,138.47/3,208.13 = 751.95/x
  3. Step 3: Cross multiply
    2,138.47x = 3,208.13 × 751.95
  4. Step 4: Simplify right side
    2,138.47x = 2,412,364.44
  5. Step 5: Solve for x
    x = 2,412,364.44/2,138.47
  6. Step 6: Final answer
    x = 1,128.08

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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.