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Finding the Fourth Proportional to 2,904, 4,358.84 and 2,261.76

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Solution

The fourth proportional to 2,904, 4,358.84 and 2,261.76 is: 3,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904 : 4,358.84 = 2,261.76 : x
  2. Step 2: Convert to fraction form
    2,904/4,358.84 = 2,261.76/x
  3. Step 3: Cross multiply
    2,904x = 4,358.84 × 2,261.76
  4. Step 4: Simplify right side
    2,904x = 9,858,649.96
  5. Step 5: Solve for x
    x = 9,858,649.96/2,904
  6. Step 6: Final answer
    x = 3,394.85

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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.