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Finding the Fourth Proportional to 2,398.12, 3,596.02 and 1,423.96

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Solution

The fourth proportional to 2,398.12, 3,596.02 and 1,423.96 is: 2,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.12 : 3,596.02 = 1,423.96 : x
  2. Step 2: Convert to fraction form
    2,398.12/3,596.02 = 1,423.96/x
  3. Step 3: Cross multiply
    2,398.12x = 3,596.02 × 1,423.96
  4. Step 4: Simplify right side
    2,398.12x = 5,120,588.64
  5. Step 5: Solve for x
    x = 5,120,588.64/2,398.12
  6. Step 6: Final answer
    x = 2,135.25

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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.