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Finding the Fourth Proportional to 3,288.76, 4,934 and 1,440.24

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Solution

The fourth proportional to 3,288.76, 4,934 and 1,440.24 is: 2,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.76 : 4,934 = 1,440.24 : x
  2. Step 2: Convert to fraction form
    3,288.76/4,934 = 1,440.24/x
  3. Step 3: Cross multiply
    3,288.76x = 4,934 × 1,440.24
  4. Step 4: Simplify right side
    3,288.76x = 7,106,144.16
  5. Step 5: Solve for x
    x = 7,106,144.16/3,288.76
  6. Step 6: Final answer
    x = 2,160.74

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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.