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Finding the Fourth Proportional to 2,366.54, 3,549.81 and 635.21

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Solution

The fourth proportional to 2,366.54, 3,549.81 and 635.21 is: 952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.54 : 3,549.81 = 635.21 : x
  2. Step 2: Convert to fraction form
    2,366.54/3,549.81 = 635.21/x
  3. Step 3: Cross multiply
    2,366.54x = 3,549.81 × 635.21
  4. Step 4: Simplify right side
    2,366.54x = 2,254,874.81
  5. Step 5: Solve for x
    x = 2,254,874.81/2,366.54
  6. Step 6: Final answer
    x = 952.82

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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.