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Finding the Fourth Proportional to 2,941.88, 4,416.06 and 2,638.94

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Solution

The fourth proportional to 2,941.88, 4,416.06 and 2,638.94 is: 3,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.88 : 4,416.06 = 2,638.94 : x
  2. Step 2: Convert to fraction form
    2,941.88/4,416.06 = 2,638.94/x
  3. Step 3: Cross multiply
    2,941.88x = 4,416.06 × 2,638.94
  4. Step 4: Simplify right side
    2,941.88x = 11,653,717.38
  5. Step 5: Solve for x
    x = 11,653,717.38/2,941.88
  6. Step 6: Final answer
    x = 3,961.32

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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.