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Finding the Fourth Proportional to 2,112.70, 3,156.83 and 1,524.91

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Solution

The fourth proportional to 2,112.70, 3,156.83 and 1,524.91 is: 2,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.70 : 3,156.83 = 1,524.91 : x
  2. Step 2: Convert to fraction form
    2,112.70/3,156.83 = 1,524.91/x
  3. Step 3: Cross multiply
    2,112.70x = 3,156.83 × 1,524.91
  4. Step 4: Simplify right side
    2,112.70x = 4,813,881.64
  5. Step 5: Solve for x
    x = 4,813,881.64/2,112.70
  6. Step 6: Final answer
    x = 2,278.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.