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Finding the Fourth Proportional to 2,424.12, 3,636.66 and 885.24

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Solution

The fourth proportional to 2,424.12, 3,636.66 and 885.24 is: 1,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.12 : 3,636.66 = 885.24 : x
  2. Step 2: Convert to fraction form
    2,424.12/3,636.66 = 885.24/x
  3. Step 3: Cross multiply
    2,424.12x = 3,636.66 × 885.24
  4. Step 4: Simplify right side
    2,424.12x = 3,219,316.90
  5. Step 5: Solve for x
    x = 3,219,316.90/2,424.12
  6. Step 6: Final answer
    x = 1,328.04

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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.