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Finding the Fourth Proportional to 2,109.60, 3,164.94 and 723.15

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Solution

The fourth proportional to 2,109.60, 3,164.94 and 723.15 is: 1,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.60 : 3,164.94 = 723.15 : x
  2. Step 2: Convert to fraction form
    2,109.60/3,164.94 = 723.15/x
  3. Step 3: Cross multiply
    2,109.60x = 3,164.94 × 723.15
  4. Step 4: Simplify right side
    2,109.60x = 2,288,726.36
  5. Step 5: Solve for x
    x = 2,288,726.36/2,109.60
  6. Step 6: Final answer
    x = 1,084.91

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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.