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Finding the Fourth Proportional to 2,914.30, 4,367.08 and 2,367.54

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Solution

The fourth proportional to 2,914.30, 4,367.08 and 2,367.54 is: 3,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.30 : 4,367.08 = 2,367.54 : x
  2. Step 2: Convert to fraction form
    2,914.30/4,367.08 = 2,367.54/x
  3. Step 3: Cross multiply
    2,914.30x = 4,367.08 × 2,367.54
  4. Step 4: Simplify right side
    2,914.30x = 10,339,236.58
  5. Step 5: Solve for x
    x = 10,339,236.58/2,914.30
  6. Step 6: Final answer
    x = 3,547.76

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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.