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Finding the Fourth Proportional to 2,578.68, 3,868.79 and 1,018.90

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Solution

The fourth proportional to 2,578.68, 3,868.79 and 1,018.90 is: 1,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.68 : 3,868.79 = 1,018.90 : x
  2. Step 2: Convert to fraction form
    2,578.68/3,868.79 = 1,018.90/x
  3. Step 3: Cross multiply
    2,578.68x = 3,868.79 × 1,018.90
  4. Step 4: Simplify right side
    2,578.68x = 3,941,905.04
  5. Step 5: Solve for x
    x = 3,941,905.04/2,578.68
  6. Step 6: Final answer
    x = 1,528.66

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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.