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Finding the Fourth Proportional to 2,838.72, 4,254.15 and 2,420.07

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Solution

The fourth proportional to 2,838.72, 4,254.15 and 2,420.07 is: 3,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.72 : 4,254.15 = 2,420.07 : x
  2. Step 2: Convert to fraction form
    2,838.72/4,254.15 = 2,420.07/x
  3. Step 3: Cross multiply
    2,838.72x = 4,254.15 × 2,420.07
  4. Step 4: Simplify right side
    2,838.72x = 10,295,340.79
  5. Step 5: Solve for x
    x = 10,295,340.79/2,838.72
  6. Step 6: Final answer
    x = 3,626.75

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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.