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Finding the Fourth Proportional to 2,914.72, 4,019.07 and 2,284.12

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Solution

The fourth proportional to 2,914.72, 4,019.07 and 2,284.12 is: 3,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.72 : 4,019.07 = 2,284.12 : x
  2. Step 2: Convert to fraction form
    2,914.72/4,019.07 = 2,284.12/x
  3. Step 3: Cross multiply
    2,914.72x = 4,019.07 × 2,284.12
  4. Step 4: Simplify right side
    2,914.72x = 9,180,038.17
  5. Step 5: Solve for x
    x = 9,180,038.17/2,914.72
  6. Step 6: Final answer
    x = 3,149.54

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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.