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Finding the Fourth Proportional to 2,424.16, 3,635.16 and 1,126

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Solution

The fourth proportional to 2,424.16, 3,635.16 and 1,126 is: 1,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.16 : 3,635.16 = 1,126 : x
  2. Step 2: Convert to fraction form
    2,424.16/3,635.16 = 1,126/x
  3. Step 3: Cross multiply
    2,424.16x = 3,635.16 × 1,126
  4. Step 4: Simplify right side
    2,424.16x = 4,093,190.16
  5. Step 5: Solve for x
    x = 4,093,190.16/2,424.16
  6. Step 6: Final answer
    x = 1,688.50

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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.