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Finding the Fourth Proportional to 3,264.78, 4,506.86 and 1,938.91

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Solution

The fourth proportional to 3,264.78, 4,506.86 and 1,938.91 is: 2,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.78 : 4,506.86 = 1,938.91 : x
  2. Step 2: Convert to fraction form
    3,264.78/4,506.86 = 1,938.91/x
  3. Step 3: Cross multiply
    3,264.78x = 4,506.86 × 1,938.91
  4. Step 4: Simplify right side
    3,264.78x = 8,738,395.92
  5. Step 5: Solve for x
    x = 8,738,395.92/3,264.78
  6. Step 6: Final answer
    x = 2,676.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.