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Finding the Fourth Proportional to 2,139.28, 3,208.64 and 678.56

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Solution

The fourth proportional to 2,139.28, 3,208.64 and 678.56 is: 1,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.28 : 3,208.64 = 678.56 : x
  2. Step 2: Convert to fraction form
    2,139.28/3,208.64 = 678.56/x
  3. Step 3: Cross multiply
    2,139.28x = 3,208.64 × 678.56
  4. Step 4: Simplify right side
    2,139.28x = 2,177,254.76
  5. Step 5: Solve for x
    x = 2,177,254.76/2,139.28
  6. Step 6: Final answer
    x = 1,017.75

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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.