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Finding the Fourth Proportional to 3,410, 4,705.22 and 1,917.98

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Solution

The fourth proportional to 3,410, 4,705.22 and 1,917.98 is: 2,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 4,705.22 = 1,917.98 : x
  2. Step 2: Convert to fraction form
    3,410/4,705.22 = 1,917.98/x
  3. Step 3: Cross multiply
    3,410x = 4,705.22 × 1,917.98
  4. Step 4: Simplify right side
    3,410x = 9,024,517.86
  5. Step 5: Solve for x
    x = 9,024,517.86/3,410
  6. Step 6: Final answer
    x = 2,646.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.