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Finding the Fourth Proportional to 2,065.03, 3,097.56 and 604.21

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Solution

The fourth proportional to 2,065.03, 3,097.56 and 604.21 is: 906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.03 : 3,097.56 = 604.21 : x
  2. Step 2: Convert to fraction form
    2,065.03/3,097.56 = 604.21/x
  3. Step 3: Cross multiply
    2,065.03x = 3,097.56 × 604.21
  4. Step 4: Simplify right side
    2,065.03x = 1,871,570.49
  5. Step 5: Solve for x
    x = 1,871,570.49/2,065.03
  6. Step 6: Final answer
    x = 906.32

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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.