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Finding the Fourth Proportional to 2,760.15, 4,138.19 and 1,298.50

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Solution

The fourth proportional to 2,760.15, 4,138.19 and 1,298.50 is: 1,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.15 : 4,138.19 = 1,298.50 : x
  2. Step 2: Convert to fraction form
    2,760.15/4,138.19 = 1,298.50/x
  3. Step 3: Cross multiply
    2,760.15x = 4,138.19 × 1,298.50
  4. Step 4: Simplify right side
    2,760.15x = 5,373,442.96
  5. Step 5: Solve for x
    x = 5,373,442.96/2,760.15
  6. Step 6: Final answer
    x = 1,946.80

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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.