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Finding the Fourth Proportional to 3,111.78, 4,668.12 and 1,031.08

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Solution

The fourth proportional to 3,111.78, 4,668.12 and 1,031.08 is: 1,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.78 : 4,668.12 = 1,031.08 : x
  2. Step 2: Convert to fraction form
    3,111.78/4,668.12 = 1,031.08/x
  3. Step 3: Cross multiply
    3,111.78x = 4,668.12 × 1,031.08
  4. Step 4: Simplify right side
    3,111.78x = 4,813,205.17
  5. Step 5: Solve for x
    x = 4,813,205.17/3,111.78
  6. Step 6: Final answer
    x = 1,546.77

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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.