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Finding the Fourth Proportional to 2,411.80, 3,614.50 and 1,241.76

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Solution

The fourth proportional to 2,411.80, 3,614.50 and 1,241.76 is: 1,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.80 : 3,614.50 = 1,241.76 : x
  2. Step 2: Convert to fraction form
    2,411.80/3,614.50 = 1,241.76/x
  3. Step 3: Cross multiply
    2,411.80x = 3,614.50 × 1,241.76
  4. Step 4: Simplify right side
    2,411.80x = 4,488,341.52
  5. Step 5: Solve for x
    x = 4,488,341.52/2,411.80
  6. Step 6: Final answer
    x = 1,860.99

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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.