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Finding the Fourth Proportional to 2,306.65, 3,460.35 and 747.05

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Solution

The fourth proportional to 2,306.65, 3,460.35 and 747.05 is: 1,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.65 : 3,460.35 = 747.05 : x
  2. Step 2: Convert to fraction form
    2,306.65/3,460.35 = 747.05/x
  3. Step 3: Cross multiply
    2,306.65x = 3,460.35 × 747.05
  4. Step 4: Simplify right side
    2,306.65x = 2,585,039.97
  5. Step 5: Solve for x
    x = 2,585,039.97/2,306.65
  6. Step 6: Final answer
    x = 1,120.69

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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.