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Finding the Fourth Proportional to 1,604.27, 2,402.05 and 833.15

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Solution

The fourth proportional to 1,604.27, 2,402.05 and 833.15 is: 1,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.27 : 2,402.05 = 833.15 : x
  2. Step 2: Convert to fraction form
    1,604.27/2,402.05 = 833.15/x
  3. Step 3: Cross multiply
    1,604.27x = 2,402.05 × 833.15
  4. Step 4: Simplify right side
    1,604.27x = 2,001,255.95
  5. Step 5: Solve for x
    x = 2,001,255.95/1,604.27
  6. Step 6: Final answer
    x = 1,247.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.