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Finding the Fourth Proportional to 3,068.72, 4,600.10 and 1,219.22

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Solution

The fourth proportional to 3,068.72, 4,600.10 and 1,219.22 is: 1,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.72 : 4,600.10 = 1,219.22 : x
  2. Step 2: Convert to fraction form
    3,068.72/4,600.10 = 1,219.22/x
  3. Step 3: Cross multiply
    3,068.72x = 4,600.10 × 1,219.22
  4. Step 4: Simplify right side
    3,068.72x = 5,608,533.92
  5. Step 5: Solve for x
    x = 5,608,533.92/3,068.72
  6. Step 6: Final answer
    x = 1,827.65

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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.