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Finding the Fourth Proportional to 2,518.08, 3,777.60 and 787.20

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Solution

The fourth proportional to 2,518.08, 3,777.60 and 787.20 is: 1,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.08 : 3,777.60 = 787.20 : x
  2. Step 2: Convert to fraction form
    2,518.08/3,777.60 = 787.20/x
  3. Step 3: Cross multiply
    2,518.08x = 3,777.60 × 787.20
  4. Step 4: Simplify right side
    2,518.08x = 2,973,726.72
  5. Step 5: Solve for x
    x = 2,973,726.72/2,518.08
  6. Step 6: Final answer
    x = 1,180.95

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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.