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Finding the Fourth Proportional to 2,695.86, 3,718.44 and 2,418.84

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Solution

The fourth proportional to 2,695.86, 3,718.44 and 2,418.84 is: 3,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.86 : 3,718.44 = 2,418.84 : x
  2. Step 2: Convert to fraction form
    2,695.86/3,718.44 = 2,418.84/x
  3. Step 3: Cross multiply
    2,695.86x = 3,718.44 × 2,418.84
  4. Step 4: Simplify right side
    2,695.86x = 8,994,311.41
  5. Step 5: Solve for x
    x = 8,994,311.41/2,695.86
  6. Step 6: Final answer
    x = 3,336.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.