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Finding the Fourth Proportional to 2,210.97, 3,315.75 and 2,065.38

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Solution

The fourth proportional to 2,210.97, 3,315.75 and 2,065.38 is: 3,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.97 : 3,315.75 = 2,065.38 : x
  2. Step 2: Convert to fraction form
    2,210.97/3,315.75 = 2,065.38/x
  3. Step 3: Cross multiply
    2,210.97x = 3,315.75 × 2,065.38
  4. Step 4: Simplify right side
    2,210.97x = 6,848,283.74
  5. Step 5: Solve for x
    x = 6,848,283.74/2,210.97
  6. Step 6: Final answer
    x = 3,097.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.