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Finding the Fourth Proportional to 1,818.92, 2,728.66 and 723.26

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Solution

The fourth proportional to 1,818.92, 2,728.66 and 723.26 is: 1,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.92 : 2,728.66 = 723.26 : x
  2. Step 2: Convert to fraction form
    1,818.92/2,728.66 = 723.26/x
  3. Step 3: Cross multiply
    1,818.92x = 2,728.66 × 723.26
  4. Step 4: Simplify right side
    1,818.92x = 1,973,530.63
  5. Step 5: Solve for x
    x = 1,973,530.63/1,818.92
  6. Step 6: Final answer
    x = 1,085.00

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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.