Home / 2,097.24-3,146.30-616.48

Finding the Fourth Proportional to 2,097.24, 3,146.30 and 616.48

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Solution

The fourth proportional to 2,097.24, 3,146.30 and 616.48 is: 924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.24 : 3,146.30 = 616.48 : x
  2. Step 2: Convert to fraction form
    2,097.24/3,146.30 = 616.48/x
  3. Step 3: Cross multiply
    2,097.24x = 3,146.30 × 616.48
  4. Step 4: Simplify right side
    2,097.24x = 1,939,631.02
  5. Step 5: Solve for x
    x = 1,939,631.02/2,097.24
  6. Step 6: Final answer
    x = 924.85

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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.