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Finding the Fourth Proportional to 3,022.29, 4,533.35 and 831.02

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Solution

The fourth proportional to 3,022.29, 4,533.35 and 831.02 is: 1,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.29 : 4,533.35 = 831.02 : x
  2. Step 2: Convert to fraction form
    3,022.29/4,533.35 = 831.02/x
  3. Step 3: Cross multiply
    3,022.29x = 4,533.35 × 831.02
  4. Step 4: Simplify right side
    3,022.29x = 3,767,277.70
  5. Step 5: Solve for x
    x = 3,767,277.70/3,022.29
  6. Step 6: Final answer
    x = 1,246.50

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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.