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Finding the Fourth Proportional to 1,839.64, 2,537.86 and 1,093.18

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Solution

The fourth proportional to 1,839.64, 2,537.86 and 1,093.18 is: 1,508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.64 : 2,537.86 = 1,093.18 : x
  2. Step 2: Convert to fraction form
    1,839.64/2,537.86 = 1,093.18/x
  3. Step 3: Cross multiply
    1,839.64x = 2,537.86 × 1,093.18
  4. Step 4: Simplify right side
    1,839.64x = 2,774,337.79
  5. Step 5: Solve for x
    x = 2,774,337.79/1,839.64
  6. Step 6: Final answer
    x = 1,508.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.