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Finding the Fourth Proportional to 2,065.04, 3,097.70 and 604.20

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Solution

The fourth proportional to 2,065.04, 3,097.70 and 604.20 is: 906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.04 : 3,097.70 = 604.20 : x
  2. Step 2: Convert to fraction form
    2,065.04/3,097.70 = 604.20/x
  3. Step 3: Cross multiply
    2,065.04x = 3,097.70 × 604.20
  4. Step 4: Simplify right side
    2,065.04x = 1,871,630.34
  5. Step 5: Solve for x
    x = 1,871,630.34/2,065.04
  6. Step 6: Final answer
    x = 906.34

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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.