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Finding the Fourth Proportional to 3,410, 5,111.48 and 1,463.44

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Solution

The fourth proportional to 3,410, 5,111.48 and 1,463.44 is: 2,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 5,111.48 = 1,463.44 : x
  2. Step 2: Convert to fraction form
    3,410/5,111.48 = 1,463.44/x
  3. Step 3: Cross multiply
    3,410x = 5,111.48 × 1,463.44
  4. Step 4: Simplify right side
    3,410x = 7,480,344.29
  5. Step 5: Solve for x
    x = 7,480,344.29/3,410
  6. Step 6: Final answer
    x = 2,193.65

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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.