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Finding the Fourth Proportional to 2,306.09, 3,454.47 and 1,751.78

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Solution

The fourth proportional to 2,306.09, 3,454.47 and 1,751.78 is: 2,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.09 : 3,454.47 = 1,751.78 : x
  2. Step 2: Convert to fraction form
    2,306.09/3,454.47 = 1,751.78/x
  3. Step 3: Cross multiply
    2,306.09x = 3,454.47 × 1,751.78
  4. Step 4: Simplify right side
    2,306.09x = 6,051,454.18
  5. Step 5: Solve for x
    x = 6,051,454.18/2,306.09
  6. Step 6: Final answer
    x = 2,624.12

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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.