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Finding the Fourth Proportional to 2,109.70, 3,164.55 and 2,077.30

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Solution

The fourth proportional to 2,109.70, 3,164.55 and 2,077.30 is: 3,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.70 : 3,164.55 = 2,077.30 : x
  2. Step 2: Convert to fraction form
    2,109.70/3,164.55 = 2,077.30/x
  3. Step 3: Cross multiply
    2,109.70x = 3,164.55 × 2,077.30
  4. Step 4: Simplify right side
    2,109.70x = 6,573,719.72
  5. Step 5: Solve for x
    x = 6,573,719.72/2,109.70
  6. Step 6: Final answer
    x = 3,115.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.