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Finding the Fourth Proportional to 2,210.97, 3,315.73 and 749.78

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Solution

The fourth proportional to 2,210.97, 3,315.73 and 749.78 is: 1,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.97 : 3,315.73 = 749.78 : x
  2. Step 2: Convert to fraction form
    2,210.97/3,315.73 = 749.78/x
  3. Step 3: Cross multiply
    2,210.97x = 3,315.73 × 749.78
  4. Step 4: Simplify right side
    2,210.97x = 2,486,068.04
  5. Step 5: Solve for x
    x = 2,486,068.04/2,210.97
  6. Step 6: Final answer
    x = 1,124.42

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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.