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Finding the Fourth Proportional to 2,109.93, 3,164.07 and 876.70

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Solution

The fourth proportional to 2,109.93, 3,164.07 and 876.70 is: 1,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.93 : 3,164.07 = 876.70 : x
  2. Step 2: Convert to fraction form
    2,109.93/3,164.07 = 876.70/x
  3. Step 3: Cross multiply
    2,109.93x = 3,164.07 × 876.70
  4. Step 4: Simplify right side
    2,109.93x = 2,773,940.17
  5. Step 5: Solve for x
    x = 2,773,940.17/2,109.93
  6. Step 6: Final answer
    x = 1,314.71

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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.