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Finding the Fourth Proportional to 2,366.32, 3,552.62 and 2,021.87

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Solution

The fourth proportional to 2,366.32, 3,552.62 and 2,021.87 is: 3,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.32 : 3,552.62 = 2,021.87 : x
  2. Step 2: Convert to fraction form
    2,366.32/3,552.62 = 2,021.87/x
  3. Step 3: Cross multiply
    2,366.32x = 3,552.62 × 2,021.87
  4. Step 4: Simplify right side
    2,366.32x = 7,182,935.80
  5. Step 5: Solve for x
    x = 7,182,935.80/2,366.32
  6. Step 6: Final answer
    x = 3,035.49

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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.