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Finding the Fourth Proportional to 2,424.63, 3,636.92 and 1,036.79

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Solution

The fourth proportional to 2,424.63, 3,636.92 and 1,036.79 is: 1,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.63 : 3,636.92 = 1,036.79 : x
  2. Step 2: Convert to fraction form
    2,424.63/3,636.92 = 1,036.79/x
  3. Step 3: Cross multiply
    2,424.63x = 3,636.92 × 1,036.79
  4. Step 4: Simplify right side
    2,424.63x = 3,770,706.69
  5. Step 5: Solve for x
    x = 3,770,706.69/2,424.63
  6. Step 6: Final answer
    x = 1,555.17

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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.