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Finding the Fourth Proportional to 1,561, 2,342.01 and 1,092.96

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Solution

The fourth proportional to 1,561, 2,342.01 and 1,092.96 is: 1,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561 : 2,342.01 = 1,092.96 : x
  2. Step 2: Convert to fraction form
    1,561/2,342.01 = 1,092.96/x
  3. Step 3: Cross multiply
    1,561x = 2,342.01 × 1,092.96
  4. Step 4: Simplify right side
    1,561x = 2,559,723.25
  5. Step 5: Solve for x
    x = 2,559,723.25/1,561
  6. Step 6: Final answer
    x = 1,639.80

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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.