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Finding the Fourth Proportional to 2,807.78, 4,212.32 and 958.91

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Solution

The fourth proportional to 2,807.78, 4,212.32 and 958.91 is: 1,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.78 : 4,212.32 = 958.91 : x
  2. Step 2: Convert to fraction form
    2,807.78/4,212.32 = 958.91/x
  3. Step 3: Cross multiply
    2,807.78x = 4,212.32 × 958.91
  4. Step 4: Simplify right side
    2,807.78x = 4,039,209.92
  5. Step 5: Solve for x
    x = 4,039,209.92/2,807.78
  6. Step 6: Final answer
    x = 1,438.58

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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.