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Finding the Fourth Proportional to 2,111.88, 3,165.60 and 1,137.72

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Solution

The fourth proportional to 2,111.88, 3,165.60 and 1,137.72 is: 1,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.88 : 3,165.60 = 1,137.72 : x
  2. Step 2: Convert to fraction form
    2,111.88/3,165.60 = 1,137.72/x
  3. Step 3: Cross multiply
    2,111.88x = 3,165.60 × 1,137.72
  4. Step 4: Simplify right side
    2,111.88x = 3,601,566.43
  5. Step 5: Solve for x
    x = 3,601,566.43/2,111.88
  6. Step 6: Final answer
    x = 1,705.38

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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.