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Finding the Fourth Proportional to 2,076.85, 3,115.25 and 616.01

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Solution

The fourth proportional to 2,076.85, 3,115.25 and 616.01 is: 924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.85 : 3,115.25 = 616.01 : x
  2. Step 2: Convert to fraction form
    2,076.85/3,115.25 = 616.01/x
  3. Step 3: Cross multiply
    2,076.85x = 3,115.25 × 616.01
  4. Step 4: Simplify right side
    2,076.85x = 1,919,022.07
  5. Step 5: Solve for x
    x = 1,919,022.07/2,076.85
  6. Step 6: Final answer
    x = 924.01

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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.