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Finding the Fourth Proportional to 3,079.78, 4,616.03 and 1,230.50

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Solution

The fourth proportional to 3,079.78, 4,616.03 and 1,230.50 is: 1,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.78 : 4,616.03 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    3,079.78/4,616.03 = 1,230.50/x
  3. Step 3: Cross multiply
    3,079.78x = 4,616.03 × 1,230.50
  4. Step 4: Simplify right side
    3,079.78x = 5,680,024.92
  5. Step 5: Solve for x
    x = 5,680,024.92/3,079.78
  6. Step 6: Final answer
    x = 1,844.30

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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.