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Finding the Fourth Proportional to 1,501.41, 2,252.84 and 635.25

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Solution

The fourth proportional to 1,501.41, 2,252.84 and 635.25 is: 953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.41 : 2,252.84 = 635.25 : x
  2. Step 2: Convert to fraction form
    1,501.41/2,252.84 = 635.25/x
  3. Step 3: Cross multiply
    1,501.41x = 2,252.84 × 635.25
  4. Step 4: Simplify right side
    1,501.41x = 1,431,113.43
  5. Step 5: Solve for x
    x = 1,431,113.43/1,501.41
  6. Step 6: Final answer
    x = 953.18

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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.