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Finding the Fourth Proportional to 2,079.66, 2,869.92 and 1,196.00

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Solution

The fourth proportional to 2,079.66, 2,869.92 and 1,196.00 is: 1,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.66 : 2,869.92 = 1,196.00 : x
  2. Step 2: Convert to fraction form
    2,079.66/2,869.92 = 1,196.00/x
  3. Step 3: Cross multiply
    2,079.66x = 2,869.92 × 1,196.00
  4. Step 4: Simplify right side
    2,079.66x = 3,432,409.97
  5. Step 5: Solve for x
    x = 3,432,409.97/2,079.66
  6. Step 6: Final answer
    x = 1,650.47

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