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Finding the Fourth Proportional to 2,588.88, 3,882.66 and 945.12

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Solution

The fourth proportional to 2,588.88, 3,882.66 and 945.12 is: 1,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.88 : 3,882.66 = 945.12 : x
  2. Step 2: Convert to fraction form
    2,588.88/3,882.66 = 945.12/x
  3. Step 3: Cross multiply
    2,588.88x = 3,882.66 × 945.12
  4. Step 4: Simplify right side
    2,588.88x = 3,669,579.62
  5. Step 5: Solve for x
    x = 3,669,579.62/2,588.88
  6. Step 6: Final answer
    x = 1,417.44

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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.