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Finding the Fourth Proportional to 2,109.84, 3,164.74 and 723.16

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Solution

The fourth proportional to 2,109.84, 3,164.74 and 723.16 is: 1,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.84 : 3,164.74 = 723.16 : x
  2. Step 2: Convert to fraction form
    2,109.84/3,164.74 = 723.16/x
  3. Step 3: Cross multiply
    2,109.84x = 3,164.74 × 723.16
  4. Step 4: Simplify right side
    2,109.84x = 2,288,613.38
  5. Step 5: Solve for x
    x = 2,288,613.38/2,109.84
  6. Step 6: Final answer
    x = 1,084.73

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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.