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Finding the Fourth Proportional to 1,895.64, 2,843.49 and 726.18

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Solution

The fourth proportional to 1,895.64, 2,843.49 and 726.18 is: 1,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.64 : 2,843.49 = 726.18 : x
  2. Step 2: Convert to fraction form
    1,895.64/2,843.49 = 726.18/x
  3. Step 3: Cross multiply
    1,895.64x = 2,843.49 × 726.18
  4. Step 4: Simplify right side
    1,895.64x = 2,064,885.57
  5. Step 5: Solve for x
    x = 2,064,885.57/1,895.64
  6. Step 6: Final answer
    x = 1,089.28

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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.