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Finding the Fourth Proportional to 2,065.27, 3,097.54 and 604.08

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Solution

The fourth proportional to 2,065.27, 3,097.54 and 604.08 is: 906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.27 : 3,097.54 = 604.08 : x
  2. Step 2: Convert to fraction form
    2,065.27/3,097.54 = 604.08/x
  3. Step 3: Cross multiply
    2,065.27x = 3,097.54 × 604.08
  4. Step 4: Simplify right side
    2,065.27x = 1,871,161.96
  5. Step 5: Solve for x
    x = 1,871,161.96/2,065.27
  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.