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Finding the Fourth Proportional to 2,314.17, 3,195.05 and 2,065.06

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Solution

The fourth proportional to 2,314.17, 3,195.05 and 2,065.06 is: 2,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.17 : 3,195.05 = 2,065.06 : x
  2. Step 2: Convert to fraction form
    2,314.17/3,195.05 = 2,065.06/x
  3. Step 3: Cross multiply
    2,314.17x = 3,195.05 × 2,065.06
  4. Step 4: Simplify right side
    2,314.17x = 6,597,963.62
  5. Step 5: Solve for x
    x = 6,597,963.62/2,314.17
  6. Step 6: Final answer
    x = 2,851.11

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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.