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Finding the Fourth Proportional to 3,122.16, 4,669.03 and 2,332.07

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Solution

The fourth proportional to 3,122.16, 4,669.03 and 2,332.07 is: 3,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.16 : 4,669.03 = 2,332.07 : x
  2. Step 2: Convert to fraction form
    3,122.16/4,669.03 = 2,332.07/x
  3. Step 3: Cross multiply
    3,122.16x = 4,669.03 × 2,332.07
  4. Step 4: Simplify right side
    3,122.16x = 10,888,515.02
  5. Step 5: Solve for x
    x = 10,888,515.02/3,122.16
  6. Step 6: Final answer
    x = 3,487.49

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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.