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Finding the Fourth Proportional to 2,332.23, 3,494.19 and 2,274.81

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Solution

The fourth proportional to 2,332.23, 3,494.19 and 2,274.81 is: 3,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.23 : 3,494.19 = 2,274.81 : x
  2. Step 2: Convert to fraction form
    2,332.23/3,494.19 = 2,274.81/x
  3. Step 3: Cross multiply
    2,332.23x = 3,494.19 × 2,274.81
  4. Step 4: Simplify right side
    2,332.23x = 7,948,618.35
  5. Step 5: Solve for x
    x = 7,948,618.35/2,332.23
  6. Step 6: Final answer
    x = 3,408.16

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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.