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Finding the Fourth Proportional to 2,774.34, 4,175.42 and 2,084.58

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Solution

The fourth proportional to 2,774.34, 4,175.42 and 2,084.58 is: 3,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.34 : 4,175.42 = 2,084.58 : x
  2. Step 2: Convert to fraction form
    2,774.34/4,175.42 = 2,084.58/x
  3. Step 3: Cross multiply
    2,774.34x = 4,175.42 × 2,084.58
  4. Step 4: Simplify right side
    2,774.34x = 8,703,986.60
  5. Step 5: Solve for x
    x = 8,703,986.60/2,774.34
  6. Step 6: Final answer
    x = 3,137.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.