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Finding the Fourth Proportional to 2,034.01, 2,806.04 and 1,561.07

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Solution

The fourth proportional to 2,034.01, 2,806.04 and 1,561.07 is: 2,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.01 : 2,806.04 = 1,561.07 : x
  2. Step 2: Convert to fraction form
    2,034.01/2,806.04 = 1,561.07/x
  3. Step 3: Cross multiply
    2,034.01x = 2,806.04 × 1,561.07
  4. Step 4: Simplify right side
    2,034.01x = 4,380,435.78
  5. Step 5: Solve for x
    x = 4,380,435.78/2,034.01
  6. Step 6: Final answer
    x = 2,153.59

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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.