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Finding the Fourth Proportional to 2,423.16, 3,636.81 and 963.34

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Solution

The fourth proportional to 2,423.16, 3,636.81 and 963.34 is: 1,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.16 : 3,636.81 = 963.34 : x
  2. Step 2: Convert to fraction form
    2,423.16/3,636.81 = 963.34/x
  3. Step 3: Cross multiply
    2,423.16x = 3,636.81 × 963.34
  4. Step 4: Simplify right side
    2,423.16x = 3,503,475.45
  5. Step 5: Solve for x
    x = 3,503,475.45/2,423.16
  6. Step 6: Final answer
    x = 1,445.83

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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.