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Finding the Fourth Proportional to 2,882.79, 4,323.98 and 1,033.81

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Solution

The fourth proportional to 2,882.79, 4,323.98 and 1,033.81 is: 1,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.79 : 4,323.98 = 1,033.81 : x
  2. Step 2: Convert to fraction form
    2,882.79/4,323.98 = 1,033.81/x
  3. Step 3: Cross multiply
    2,882.79x = 4,323.98 × 1,033.81
  4. Step 4: Simplify right side
    2,882.79x = 4,470,152.14
  5. Step 5: Solve for x
    x = 4,470,152.14/2,882.79
  6. Step 6: Final answer
    x = 1,550.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.