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Finding the Fourth Proportional to 2,306.74, 3,460.08 and 845.68

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Solution

The fourth proportional to 2,306.74, 3,460.08 and 845.68 is: 1,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.74 : 3,460.08 = 845.68 : x
  2. Step 2: Convert to fraction form
    2,306.74/3,460.08 = 845.68/x
  3. Step 3: Cross multiply
    2,306.74x = 3,460.08 × 845.68
  4. Step 4: Simplify right side
    2,306.74x = 2,926,120.45
  5. Step 5: Solve for x
    x = 2,926,120.45/2,306.74
  6. Step 6: Final answer
    x = 1,268.51

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Why These Related Problems?

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