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Finding the Fourth Proportional to 1,115.36, 1,666.12 and 1,093.76

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Solution

The fourth proportional to 1,115.36, 1,666.12 and 1,093.76 is: 1,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.36 : 1,666.12 = 1,093.76 : x
  2. Step 2: Convert to fraction form
    1,115.36/1,666.12 = 1,093.76/x
  3. Step 3: Cross multiply
    1,115.36x = 1,666.12 × 1,093.76
  4. Step 4: Simplify right side
    1,115.36x = 1,822,335.41
  5. Step 5: Solve for x
    x = 1,822,335.41/1,115.36
  6. Step 6: Final answer
    x = 1,633.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.