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Finding the Fourth Proportional to 2,761.79, 4,142.66 and 1,300.14

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Solution

The fourth proportional to 2,761.79, 4,142.66 and 1,300.14 is: 1,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.79 : 4,142.66 = 1,300.14 : x
  2. Step 2: Convert to fraction form
    2,761.79/4,142.66 = 1,300.14/x
  3. Step 3: Cross multiply
    2,761.79x = 4,142.66 × 1,300.14
  4. Step 4: Simplify right side
    2,761.79x = 5,386,031.47
  5. Step 5: Solve for x
    x = 5,386,031.47/2,761.79
  6. Step 6: Final answer
    x = 1,950.20

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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.