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Finding the Fourth Proportional to 2,366.02, 3,549.09 and 634.63

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Solution

The fourth proportional to 2,366.02, 3,549.09 and 634.63 is: 951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.02 : 3,549.09 = 634.63 : x
  2. Step 2: Convert to fraction form
    2,366.02/3,549.09 = 634.63/x
  3. Step 3: Cross multiply
    2,366.02x = 3,549.09 × 634.63
  4. Step 4: Simplify right side
    2,366.02x = 2,252,358.99
  5. Step 5: Solve for x
    x = 2,252,358.99/2,366.02
  6. Step 6: Final answer
    x = 951.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.