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Finding the Fourth Proportional to 2,478.11, 3,717.14 and 604.01

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Solution

The fourth proportional to 2,478.11, 3,717.14 and 604.01 is: 906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.11 : 3,717.14 = 604.01 : x
  2. Step 2: Convert to fraction form
    2,478.11/3,717.14 = 604.01/x
  3. Step 3: Cross multiply
    2,478.11x = 3,717.14 × 604.01
  4. Step 4: Simplify right side
    2,478.11x = 2,245,189.73
  5. Step 5: Solve for x
    x = 2,245,189.73/2,478.11
  6. Step 6: Final answer
    x = 906.01

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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.