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Finding the Fourth Proportional to 2,301.78, 3,453.12 and 914.86

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Solution

The fourth proportional to 2,301.78, 3,453.12 and 914.86 is: 1,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.78 : 3,453.12 = 914.86 : x
  2. Step 2: Convert to fraction form
    2,301.78/3,453.12 = 914.86/x
  3. Step 3: Cross multiply
    2,301.78x = 3,453.12 × 914.86
  4. Step 4: Simplify right side
    2,301.78x = 3,159,099.52
  5. Step 5: Solve for x
    x = 3,159,099.52/2,301.78
  6. Step 6: Final answer
    x = 1,372.46

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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.