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Finding the Fourth Proportional to 2,314.98, 3,196.17 and 2,065.88

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Solution

The fourth proportional to 2,314.98, 3,196.17 and 2,065.88 is: 2,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.98 : 3,196.17 = 2,065.88 : x
  2. Step 2: Convert to fraction form
    2,314.98/3,196.17 = 2,065.88/x
  3. Step 3: Cross multiply
    2,314.98x = 3,196.17 × 2,065.88
  4. Step 4: Simplify right side
    2,314.98x = 6,602,882.53
  5. Step 5: Solve for x
    x = 6,602,882.53/2,314.98
  6. Step 6: Final answer
    x = 2,852.24

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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.