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Finding the Fourth Proportional to 2,530.72, 3,796.08 and 1,068.85

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Solution

The fourth proportional to 2,530.72, 3,796.08 and 1,068.85 is: 1,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.72 : 3,796.08 = 1,068.85 : x
  2. Step 2: Convert to fraction form
    2,530.72/3,796.08 = 1,068.85/x
  3. Step 3: Cross multiply
    2,530.72x = 3,796.08 × 1,068.85
  4. Step 4: Simplify right side
    2,530.72x = 4,057,440.11
  5. Step 5: Solve for x
    x = 4,057,440.11/2,530.72
  6. Step 6: Final answer
    x = 1,603.28

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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.