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Finding the Fourth Proportional to 2,093.24, 2,888.58 and 1,149

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Solution

The fourth proportional to 2,093.24, 2,888.58 and 1,149 is: 1,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.24 : 2,888.58 = 1,149 : x
  2. Step 2: Convert to fraction form
    2,093.24/2,888.58 = 1,149/x
  3. Step 3: Cross multiply
    2,093.24x = 2,888.58 × 1,149
  4. Step 4: Simplify right side
    2,093.24x = 3,318,978.42
  5. Step 5: Solve for x
    x = 3,318,978.42/2,093.24
  6. Step 6: Final answer
    x = 1,585.57

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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.