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Finding the Fourth Proportional to 2,625.80, 3,938.38 and 678.14

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Solution

The fourth proportional to 2,625.80, 3,938.38 and 678.14 is: 1,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.80 : 3,938.38 = 678.14 : x
  2. Step 2: Convert to fraction form
    2,625.80/3,938.38 = 678.14/x
  3. Step 3: Cross multiply
    2,625.80x = 3,938.38 × 678.14
  4. Step 4: Simplify right side
    2,625.80x = 2,670,773.01
  5. Step 5: Solve for x
    x = 2,670,773.01/2,625.80
  6. Step 6: Final answer
    x = 1,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.