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Finding the Fourth Proportional to 2,424.41, 3,636.07 and 963.17

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Solution

The fourth proportional to 2,424.41, 3,636.07 and 963.17 is: 1,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.41 : 3,636.07 = 963.17 : x
  2. Step 2: Convert to fraction form
    2,424.41/3,636.07 = 963.17/x
  3. Step 3: Cross multiply
    2,424.41x = 3,636.07 × 963.17
  4. Step 4: Simplify right side
    2,424.41x = 3,502,153.54
  5. Step 5: Solve for x
    x = 3,502,153.54/2,424.41
  6. Step 6: Final answer
    x = 1,444.54

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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.