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Finding the Fourth Proportional to 2,424.62, 3,636.95 and 1,036.79

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Solution

The fourth proportional to 2,424.62, 3,636.95 and 1,036.79 is: 1,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.62 : 3,636.95 = 1,036.79 : x
  2. Step 2: Convert to fraction form
    2,424.62/3,636.95 = 1,036.79/x
  3. Step 3: Cross multiply
    2,424.62x = 3,636.95 × 1,036.79
  4. Step 4: Simplify right side
    2,424.62x = 3,770,730.02
  5. Step 5: Solve for x
    x = 3,770,730.02/2,424.62
  6. Step 6: Final answer
    x = 1,555.18

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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.