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Finding the Fourth Proportional to 2,307.84, 3,462.72 and 1,008.96

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Solution

The fourth proportional to 2,307.84, 3,462.72 and 1,008.96 is: 1,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.84 : 3,462.72 = 1,008.96 : x
  2. Step 2: Convert to fraction form
    2,307.84/3,462.72 = 1,008.96/x
  3. Step 3: Cross multiply
    2,307.84x = 3,462.72 × 1,008.96
  4. Step 4: Simplify right side
    2,307.84x = 3,493,745.97
  5. Step 5: Solve for x
    x = 3,493,745.97/2,307.84
  6. Step 6: Final answer
    x = 1,513.86

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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.