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Finding the Fourth Proportional to 2,797.58, 4,194.48 and 1,565.84

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Solution

The fourth proportional to 2,797.58, 4,194.48 and 1,565.84 is: 2,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.58 : 4,194.48 = 1,565.84 : x
  2. Step 2: Convert to fraction form
    2,797.58/4,194.48 = 1,565.84/x
  3. Step 3: Cross multiply
    2,797.58x = 4,194.48 × 1,565.84
  4. Step 4: Simplify right side
    2,797.58x = 6,567,884.56
  5. Step 5: Solve for x
    x = 6,567,884.56/2,797.58
  6. Step 6: Final answer
    x = 2,347.70

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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.