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Finding the Fourth Proportional to 2,518.76, 3,772.62 and 1,786.10

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Solution

The fourth proportional to 2,518.76, 3,772.62 and 1,786.10 is: 2,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.76 : 3,772.62 = 1,786.10 : x
  2. Step 2: Convert to fraction form
    2,518.76/3,772.62 = 1,786.10/x
  3. Step 3: Cross multiply
    2,518.76x = 3,772.62 × 1,786.10
  4. Step 4: Simplify right side
    2,518.76x = 6,738,276.58
  5. Step 5: Solve for x
    x = 6,738,276.58/2,518.76
  6. Step 6: Final answer
    x = 2,675.24

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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.