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Finding the Fourth Proportional to 2,210.84, 3,314.18 and 748.97

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Solution

The fourth proportional to 2,210.84, 3,314.18 and 748.97 is: 1,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.84 : 3,314.18 = 748.97 : x
  2. Step 2: Convert to fraction form
    2,210.84/3,314.18 = 748.97/x
  3. Step 3: Cross multiply
    2,210.84x = 3,314.18 × 748.97
  4. Step 4: Simplify right side
    2,210.84x = 2,482,221.39
  5. Step 5: Solve for x
    x = 2,482,221.39/2,210.84
  6. Step 6: Final answer
    x = 1,122.75

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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.