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Finding the Fourth Proportional to 1,610.01, 2,414.54 and 622.76

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Solution

The fourth proportional to 1,610.01, 2,414.54 and 622.76 is: 933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.01 : 2,414.54 = 622.76 : x
  2. Step 2: Convert to fraction form
    1,610.01/2,414.54 = 622.76/x
  3. Step 3: Cross multiply
    1,610.01x = 2,414.54 × 622.76
  4. Step 4: Simplify right side
    1,610.01x = 1,503,668.41
  5. Step 5: Solve for x
    x = 1,503,668.41/1,610.01
  6. Step 6: Final answer
    x = 933.95

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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.