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Finding the Fourth Proportional to 2,366.06, 3,549.16 and 634.69

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Solution

The fourth proportional to 2,366.06, 3,549.16 and 634.69 is: 952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.06 : 3,549.16 = 634.69 : x
  2. Step 2: Convert to fraction form
    2,366.06/3,549.16 = 634.69/x
  3. Step 3: Cross multiply
    2,366.06x = 3,549.16 × 634.69
  4. Step 4: Simplify right side
    2,366.06x = 2,252,608.28
  5. Step 5: Solve for x
    x = 2,252,608.28/2,366.06
  6. Step 6: Final answer
    x = 952.05

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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.