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Finding the Fourth Proportional to 2,827.46, 3,902.01 and 1,708.17

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Solution

The fourth proportional to 2,827.46, 3,902.01 and 1,708.17 is: 2,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.46 : 3,902.01 = 1,708.17 : x
  2. Step 2: Convert to fraction form
    2,827.46/3,902.01 = 1,708.17/x
  3. Step 3: Cross multiply
    2,827.46x = 3,902.01 × 1,708.17
  4. Step 4: Simplify right side
    2,827.46x = 6,665,297.33
  5. Step 5: Solve for x
    x = 6,665,297.33/2,827.46
  6. Step 6: Final answer
    x = 2,357.35

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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.