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Finding the Fourth Proportional to 2,356.76, 3,251.46 and 1,412.57

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Solution

The fourth proportional to 2,356.76, 3,251.46 and 1,412.57 is: 1,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.76 : 3,251.46 = 1,412.57 : x
  2. Step 2: Convert to fraction form
    2,356.76/3,251.46 = 1,412.57/x
  3. Step 3: Cross multiply
    2,356.76x = 3,251.46 × 1,412.57
  4. Step 4: Simplify right side
    2,356.76x = 4,592,914.85
  5. Step 5: Solve for x
    x = 4,592,914.85/2,356.76
  6. Step 6: Final answer
    x = 1,948.83

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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.