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Finding the Fourth Proportional to 2,356.89, 3,251.57 and 1,412.70

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Solution

The fourth proportional to 2,356.89, 3,251.57 and 1,412.70 is: 1,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.89 : 3,251.57 = 1,412.70 : x
  2. Step 2: Convert to fraction form
    2,356.89/3,251.57 = 1,412.70/x
  3. Step 3: Cross multiply
    2,356.89x = 3,251.57 × 1,412.70
  4. Step 4: Simplify right side
    2,356.89x = 4,593,492.94
  5. Step 5: Solve for x
    x = 4,593,492.94/2,356.89
  6. Step 6: Final answer
    x = 1,948.96

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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.