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Finding the Fourth Proportional to 2,477, 3,713.43 and 1,017.20

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Solution

The fourth proportional to 2,477, 3,713.43 and 1,017.20 is: 1,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477 : 3,713.43 = 1,017.20 : x
  2. Step 2: Convert to fraction form
    2,477/3,713.43 = 1,017.20/x
  3. Step 3: Cross multiply
    2,477x = 3,713.43 × 1,017.20
  4. Step 4: Simplify right side
    2,477x = 3,777,301.00
  5. Step 5: Solve for x
    x = 3,777,301.00/2,477
  6. Step 6: Final answer
    x = 1,524.95

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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.