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Finding the Fourth Proportional to 2,093.76, 3,137.31 and 1,106.55

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Solution

The fourth proportional to 2,093.76, 3,137.31 and 1,106.55 is: 1,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.76 : 3,137.31 = 1,106.55 : x
  2. Step 2: Convert to fraction form
    2,093.76/3,137.31 = 1,106.55/x
  3. Step 3: Cross multiply
    2,093.76x = 3,137.31 × 1,106.55
  4. Step 4: Simplify right side
    2,093.76x = 3,471,590.38
  5. Step 5: Solve for x
    x = 3,471,590.38/2,093.76
  6. Step 6: Final answer
    x = 1,658.07

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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.