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Finding the Fourth Proportional to 2,093.61, 3,137.39 and 1,156.74

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Solution

The fourth proportional to 2,093.61, 3,137.39 and 1,156.74 is: 1,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.61 : 3,137.39 = 1,156.74 : x
  2. Step 2: Convert to fraction form
    2,093.61/3,137.39 = 1,156.74/x
  3. Step 3: Cross multiply
    2,093.61x = 3,137.39 × 1,156.74
  4. Step 4: Simplify right side
    2,093.61x = 3,629,144.51
  5. Step 5: Solve for x
    x = 3,629,144.51/2,093.61
  6. Step 6: Final answer
    x = 1,733.44

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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.