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Finding the Fourth Proportional to 1,697.45, 2,542.22 and 1,650.74

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Solution

The fourth proportional to 1,697.45, 2,542.22 and 1,650.74 is: 2,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.45 : 2,542.22 = 1,650.74 : x
  2. Step 2: Convert to fraction form
    1,697.45/2,542.22 = 1,650.74/x
  3. Step 3: Cross multiply
    1,697.45x = 2,542.22 × 1,650.74
  4. Step 4: Simplify right side
    1,697.45x = 4,196,535.66
  5. Step 5: Solve for x
    x = 4,196,535.66/1,697.45
  6. Step 6: Final answer
    x = 2,472.26

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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.