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Finding the Fourth Proportional to 2,335.20, 3,212.64 and 2,270.40

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Solution

The fourth proportional to 2,335.20, 3,212.64 and 2,270.40 is: 3,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.20 : 3,212.64 = 2,270.40 : x
  2. Step 2: Convert to fraction form
    2,335.20/3,212.64 = 2,270.40/x
  3. Step 3: Cross multiply
    2,335.20x = 3,212.64 × 2,270.40
  4. Step 4: Simplify right side
    2,335.20x = 7,293,977.86
  5. Step 5: Solve for x
    x = 7,293,977.86/2,335.20
  6. Step 6: Final answer
    x = 3,123.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.