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Finding the Fourth Proportional to 2,093.67, 2,890.20 and 1,534.16

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Solution

The fourth proportional to 2,093.67, 2,890.20 and 1,534.16 is: 2,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.67 : 2,890.20 = 1,534.16 : x
  2. Step 2: Convert to fraction form
    2,093.67/2,890.20 = 1,534.16/x
  3. Step 3: Cross multiply
    2,093.67x = 2,890.20 × 1,534.16
  4. Step 4: Simplify right side
    2,093.67x = 4,434,022.01
  5. Step 5: Solve for x
    x = 4,434,022.01/2,093.67
  6. Step 6: Final answer
    x = 2,117.83

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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.