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Finding the Fourth Proportional to 2,661.44, 3,992.64 and 929.76

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Solution

The fourth proportional to 2,661.44, 3,992.64 and 929.76 is: 1,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.44 : 3,992.64 = 929.76 : x
  2. Step 2: Convert to fraction form
    2,661.44/3,992.64 = 929.76/x
  3. Step 3: Cross multiply
    2,661.44x = 3,992.64 × 929.76
  4. Step 4: Simplify right side
    2,661.44x = 3,712,196.97
  5. Step 5: Solve for x
    x = 3,712,196.97/2,661.44
  6. Step 6: Final answer
    x = 1,394.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.