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Finding the Fourth Proportional to 3,101.78, 4,281.72 and 2,158.94

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Solution

The fourth proportional to 3,101.78, 4,281.72 and 2,158.94 is: 2,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.78 : 4,281.72 = 2,158.94 : x
  2. Step 2: Convert to fraction form
    3,101.78/4,281.72 = 2,158.94/x
  3. Step 3: Cross multiply
    3,101.78x = 4,281.72 × 2,158.94
  4. Step 4: Simplify right side
    3,101.78x = 9,243,976.58
  5. Step 5: Solve for x
    x = 9,243,976.58/3,101.78
  6. Step 6: Final answer
    x = 2,980.22

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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.