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Finding the Fourth Proportional to 3,105.35, 4,285.35 and 1,689.08

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Solution

The fourth proportional to 3,105.35, 4,285.35 and 1,689.08 is: 2,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.35 : 4,285.35 = 1,689.08 : x
  2. Step 2: Convert to fraction form
    3,105.35/4,285.35 = 1,689.08/x
  3. Step 3: Cross multiply
    3,105.35x = 4,285.35 × 1,689.08
  4. Step 4: Simplify right side
    3,105.35x = 7,238,298.98
  5. Step 5: Solve for x
    x = 7,238,298.98/3,105.35
  6. Step 6: Final answer
    x = 2,330.91

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