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Finding the Fourth Proportional to 1,337.61, 1,846.41 and 1,197.48

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Solution

The fourth proportional to 1,337.61, 1,846.41 and 1,197.48 is: 1,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.61 : 1,846.41 = 1,197.48 : x
  2. Step 2: Convert to fraction form
    1,337.61/1,846.41 = 1,197.48/x
  3. Step 3: Cross multiply
    1,337.61x = 1,846.41 × 1,197.48
  4. Step 4: Simplify right side
    1,337.61x = 2,211,027.59
  5. Step 5: Solve for x
    x = 2,211,027.59/1,337.61
  6. Step 6: Final answer
    x = 1,652.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.