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Finding the Fourth Proportional to 2,423.98, 3,636.63 and 864.15

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Solution

The fourth proportional to 2,423.98, 3,636.63 and 864.15 is: 1,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.98 : 3,636.63 = 864.15 : x
  2. Step 2: Convert to fraction form
    2,423.98/3,636.63 = 864.15/x
  3. Step 3: Cross multiply
    2,423.98x = 3,636.63 × 864.15
  4. Step 4: Simplify right side
    2,423.98x = 3,142,591.14
  5. Step 5: Solve for x
    x = 3,142,591.14/2,423.98
  6. Step 6: Final answer
    x = 1,296.46

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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.