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Finding the Fourth Proportional to 2,306.45, 3,459.66 and 845.71

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Solution

The fourth proportional to 2,306.45, 3,459.66 and 845.71 is: 1,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.45 : 3,459.66 = 845.71 : x
  2. Step 2: Convert to fraction form
    2,306.45/3,459.66 = 845.71/x
  3. Step 3: Cross multiply
    2,306.45x = 3,459.66 × 845.71
  4. Step 4: Simplify right side
    2,306.45x = 2,925,860.41
  5. Step 5: Solve for x
    x = 2,925,860.41/2,306.45
  6. Step 6: Final answer
    x = 1,268.56

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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.