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Finding the Fourth Proportional to 1,501.38, 2,252.34 and 635.76

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Solution

The fourth proportional to 1,501.38, 2,252.34 and 635.76 is: 953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.38 : 2,252.34 = 635.76 : x
  2. Step 2: Convert to fraction form
    1,501.38/2,252.34 = 635.76/x
  3. Step 3: Cross multiply
    1,501.38x = 2,252.34 × 635.76
  4. Step 4: Simplify right side
    1,501.38x = 1,431,947.68
  5. Step 5: Solve for x
    x = 1,431,947.68/1,501.38
  6. Step 6: Final answer
    x = 953.75

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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.