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Finding the Fourth Proportional to 2,064.94, 3,097.68 and 604.07

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Solution

The fourth proportional to 2,064.94, 3,097.68 and 604.07 is: 906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.94 : 3,097.68 = 604.07 : x
  2. Step 2: Convert to fraction form
    2,064.94/3,097.68 = 604.07/x
  3. Step 3: Cross multiply
    2,064.94x = 3,097.68 × 604.07
  4. Step 4: Simplify right side
    2,064.94x = 1,871,215.56
  5. Step 5: Solve for x
    x = 1,871,215.56/2,064.94
  6. Step 6: Final answer
    x = 906.19

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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.