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Finding the Fourth Proportional to 3,111.82, 4,666.41 and 1,031.27

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Solution

The fourth proportional to 3,111.82, 4,666.41 and 1,031.27 is: 1,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.82 : 4,666.41 = 1,031.27 : x
  2. Step 2: Convert to fraction form
    3,111.82/4,666.41 = 1,031.27/x
  3. Step 3: Cross multiply
    3,111.82x = 4,666.41 × 1,031.27
  4. Step 4: Simplify right side
    3,111.82x = 4,812,305.31
  5. Step 5: Solve for x
    x = 4,812,305.31/3,111.82
  6. Step 6: Final answer
    x = 1,546.46

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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.