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Finding the Fourth Proportional to 2,287.82, 3,426.64 and 1,764

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Solution

The fourth proportional to 2,287.82, 3,426.64 and 1,764 is: 2,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.82 : 3,426.64 = 1,764 : x
  2. Step 2: Convert to fraction form
    2,287.82/3,426.64 = 1,764/x
  3. Step 3: Cross multiply
    2,287.82x = 3,426.64 × 1,764
  4. Step 4: Simplify right side
    2,287.82x = 6,044,588.55
  5. Step 5: Solve for x
    x = 6,044,588.55/2,287.82
  6. Step 6: Final answer
    x = 2,642.07

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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.