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Finding the Fourth Proportional to 2,424.18, 3,636.29 and 963.33

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Solution

The fourth proportional to 2,424.18, 3,636.29 and 963.33 is: 1,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.18 : 3,636.29 = 963.33 : x
  2. Step 2: Convert to fraction form
    2,424.18/3,636.29 = 963.33/x
  3. Step 3: Cross multiply
    2,424.18x = 3,636.29 × 963.33
  4. Step 4: Simplify right side
    2,424.18x = 3,502,942.43
  5. Step 5: Solve for x
    x = 3,502,942.43/2,424.18
  6. Step 6: Final answer
    x = 1,445.00

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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.