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Finding the Fourth Proportional to 2,356.46, 3,251.03 and 1,459.79

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Solution

The fourth proportional to 2,356.46, 3,251.03 and 1,459.79 is: 2,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.46 : 3,251.03 = 1,459.79 : x
  2. Step 2: Convert to fraction form
    2,356.46/3,251.03 = 1,459.79/x
  3. Step 3: Cross multiply
    2,356.46x = 3,251.03 × 1,459.79
  4. Step 4: Simplify right side
    2,356.46x = 4,745,797.53
  5. Step 5: Solve for x
    x = 4,745,797.53/2,356.46
  6. Step 6: Final answer
    x = 2,013.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.