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Finding the Fourth Proportional to 2,707.54, 4,056.44 and 2,518

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Solution

The fourth proportional to 2,707.54, 4,056.44 and 2,518 is: 3,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.54 : 4,056.44 = 2,518 : x
  2. Step 2: Convert to fraction form
    2,707.54/4,056.44 = 2,518/x
  3. Step 3: Cross multiply
    2,707.54x = 4,056.44 × 2,518
  4. Step 4: Simplify right side
    2,707.54x = 10,214,115.92
  5. Step 5: Solve for x
    x = 10,214,115.92/2,707.54
  6. Step 6: Final answer
    x = 3,772.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.