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Finding the Fourth Proportional to 2,521.70, 3,783.06 and 878.38

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Solution

The fourth proportional to 2,521.70, 3,783.06 and 878.38 is: 1,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.70 : 3,783.06 = 878.38 : x
  2. Step 2: Convert to fraction form
    2,521.70/3,783.06 = 878.38/x
  3. Step 3: Cross multiply
    2,521.70x = 3,783.06 × 878.38
  4. Step 4: Simplify right side
    2,521.70x = 3,322,947.52
  5. Step 5: Solve for x
    x = 3,322,947.52/2,521.70
  6. Step 6: Final answer
    x = 1,317.74

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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.