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Finding the Fourth Proportional to 3,068.52, 4,600.26 and 1,119.48

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Solution

The fourth proportional to 3,068.52, 4,600.26 and 1,119.48 is: 1,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.52 : 4,600.26 = 1,119.48 : x
  2. Step 2: Convert to fraction form
    3,068.52/4,600.26 = 1,119.48/x
  3. Step 3: Cross multiply
    3,068.52x = 4,600.26 × 1,119.48
  4. Step 4: Simplify right side
    3,068.52x = 5,149,899.06
  5. Step 5: Solve for x
    x = 5,149,899.06/3,068.52
  6. Step 6: Final answer
    x = 1,678.30

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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.