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Finding the Fourth Proportional to 1,561.84, 2,343.03 and 466.09

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Solution

The fourth proportional to 1,561.84, 2,343.03 and 466.09 is: 699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.84 : 2,343.03 = 466.09 : x
  2. Step 2: Convert to fraction form
    1,561.84/2,343.03 = 466.09/x
  3. Step 3: Cross multiply
    1,561.84x = 2,343.03 × 466.09
  4. Step 4: Simplify right side
    1,561.84x = 1,092,062.85
  5. Step 5: Solve for x
    x = 1,092,062.85/1,561.84
  6. Step 6: Final answer
    x = 699.22

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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.