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Finding the Fourth Proportional to 1,816.38, 2,725.19 and 721.10

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Solution

The fourth proportional to 1,816.38, 2,725.19 and 721.10 is: 1,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.38 : 2,725.19 = 721.10 : x
  2. Step 2: Convert to fraction form
    1,816.38/2,725.19 = 721.10/x
  3. Step 3: Cross multiply
    1,816.38x = 2,725.19 × 721.10
  4. Step 4: Simplify right side
    1,816.38x = 1,965,134.51
  5. Step 5: Solve for x
    x = 1,965,134.51/1,816.38
  6. Step 6: Final answer
    x = 1,081.90

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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.