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Finding the Fourth Proportional to 2,825.62, 3,899.45 and 1,706.33

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Solution

The fourth proportional to 2,825.62, 3,899.45 and 1,706.33 is: 2,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.62 : 3,899.45 = 1,706.33 : x
  2. Step 2: Convert to fraction form
    2,825.62/3,899.45 = 1,706.33/x
  3. Step 3: Cross multiply
    2,825.62x = 3,899.45 × 1,706.33
  4. Step 4: Simplify right side
    2,825.62x = 6,653,762.53
  5. Step 5: Solve for x
    x = 6,653,762.53/2,825.62
  6. Step 6: Final answer
    x = 2,354.80

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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.