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Finding the Fourth Proportional to 2,138.88, 3,208.80 and 678.08

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Solution

The fourth proportional to 2,138.88, 3,208.80 and 678.08 is: 1,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.88 : 3,208.80 = 678.08 : x
  2. Step 2: Convert to fraction form
    2,138.88/3,208.80 = 678.08/x
  3. Step 3: Cross multiply
    2,138.88x = 3,208.80 × 678.08
  4. Step 4: Simplify right side
    2,138.88x = 2,175,823.10
  5. Step 5: Solve for x
    x = 2,175,823.10/2,138.88
  6. Step 6: Final answer
    x = 1,017.27

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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.