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Finding the Fourth Proportional to 1,818.86, 2,727.60 and 778.95

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Solution

The fourth proportional to 1,818.86, 2,727.60 and 778.95 is: 1,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.86 : 2,727.60 = 778.95 : x
  2. Step 2: Convert to fraction form
    1,818.86/2,727.60 = 778.95/x
  3. Step 3: Cross multiply
    1,818.86x = 2,727.60 × 778.95
  4. Step 4: Simplify right side
    1,818.86x = 2,124,664.02
  5. Step 5: Solve for x
    x = 2,124,664.02/1,818.86
  6. Step 6: Final answer
    x = 1,168.13

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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.