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Finding the Fourth Proportional to 2,315.98, 3,196.02 and 1,321.57

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Solution

The fourth proportional to 2,315.98, 3,196.02 and 1,321.57 is: 1,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.98 : 3,196.02 = 1,321.57 : x
  2. Step 2: Convert to fraction form
    2,315.98/3,196.02 = 1,321.57/x
  3. Step 3: Cross multiply
    2,315.98x = 3,196.02 × 1,321.57
  4. Step 4: Simplify right side
    2,315.98x = 4,223,764.15
  5. Step 5: Solve for x
    x = 4,223,764.15/2,315.98
  6. Step 6: Final answer
    x = 1,823.75

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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.