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Finding the Fourth Proportional to 2,064.93, 3,097.85 and 604.10

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Solution

The fourth proportional to 2,064.93, 3,097.85 and 604.10 is: 906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.93 : 3,097.85 = 604.10 : x
  2. Step 2: Convert to fraction form
    2,064.93/3,097.85 = 604.10/x
  3. Step 3: Cross multiply
    2,064.93x = 3,097.85 × 604.10
  4. Step 4: Simplify right side
    2,064.93x = 1,871,411.19
  5. Step 5: Solve for x
    x = 1,871,411.19/2,064.93
  6. Step 6: Final answer
    x = 906.28

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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.