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Finding the Fourth Proportional to 3,022.16, 4,533.15 and 831.02

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Solution

The fourth proportional to 3,022.16, 4,533.15 and 831.02 is: 1,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.16 : 4,533.15 = 831.02 : x
  2. Step 2: Convert to fraction form
    3,022.16/4,533.15 = 831.02/x
  3. Step 3: Cross multiply
    3,022.16x = 4,533.15 × 831.02
  4. Step 4: Simplify right side
    3,022.16x = 3,767,138.31
  5. Step 5: Solve for x
    x = 3,767,138.31/3,022.16
  6. Step 6: Final answer
    x = 1,246.51

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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.