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Finding the Fourth Proportional to 2,914.63, 4,372.18 and 913.19

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Solution

The fourth proportional to 2,914.63, 4,372.18 and 913.19 is: 1,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.63 : 4,372.18 = 913.19 : x
  2. Step 2: Convert to fraction form
    2,914.63/4,372.18 = 913.19/x
  3. Step 3: Cross multiply
    2,914.63x = 4,372.18 × 913.19
  4. Step 4: Simplify right side
    2,914.63x = 3,992,606.91
  5. Step 5: Solve for x
    x = 3,992,606.91/2,914.63
  6. Step 6: Final answer
    x = 1,369.85

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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.