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Finding the Fourth Proportional to 1,360.92, 2,031.50 and 1,196.90

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Solution

The fourth proportional to 1,360.92, 2,031.50 and 1,196.90 is: 1,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.92 : 2,031.50 = 1,196.90 : x
  2. Step 2: Convert to fraction form
    1,360.92/2,031.50 = 1,196.90/x
  3. Step 3: Cross multiply
    1,360.92x = 2,031.50 × 1,196.90
  4. Step 4: Simplify right side
    1,360.92x = 2,431,502.35
  5. Step 5: Solve for x
    x = 2,431,502.35/1,360.92
  6. Step 6: Final answer
    x = 1,786.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.