Home / 2,197.54-3,031.08-1,568.78

Finding the Fourth Proportional to 2,197.54, 3,031.08 and 1,568.78

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Solution

The fourth proportional to 2,197.54, 3,031.08 and 1,568.78 is: 2,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.54 : 3,031.08 = 1,568.78 : x
  2. Step 2: Convert to fraction form
    2,197.54/3,031.08 = 1,568.78/x
  3. Step 3: Cross multiply
    2,197.54x = 3,031.08 × 1,568.78
  4. Step 4: Simplify right side
    2,197.54x = 4,755,088.01
  5. Step 5: Solve for x
    x = 4,755,088.01/2,197.54
  6. Step 6: Final answer
    x = 2,163.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.