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Finding the Fourth Proportional to 2,096.85, 3,145.76 and 616.11

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Solution

The fourth proportional to 2,096.85, 3,145.76 and 616.11 is: 924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.85 : 3,145.76 = 616.11 : x
  2. Step 2: Convert to fraction form
    2,096.85/3,145.76 = 616.11/x
  3. Step 3: Cross multiply
    2,096.85x = 3,145.76 × 616.11
  4. Step 4: Simplify right side
    2,096.85x = 1,938,131.11
  5. Step 5: Solve for x
    x = 1,938,131.11/2,096.85
  6. Step 6: Final answer
    x = 924.31

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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.