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Finding the Fourth Proportional to 1,697.83, 2,542.79 and 1,651.11

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Solution

The fourth proportional to 1,697.83, 2,542.79 and 1,651.11 is: 2,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.83 : 2,542.79 = 1,651.11 : x
  2. Step 2: Convert to fraction form
    1,697.83/2,542.79 = 1,651.11/x
  3. Step 3: Cross multiply
    1,697.83x = 2,542.79 × 1,651.11
  4. Step 4: Simplify right side
    1,697.83x = 4,198,417.74
  5. Step 5: Solve for x
    x = 4,198,417.74/1,697.83
  6. Step 6: Final answer
    x = 2,472.82

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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.