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Finding the Fourth Proportional to 2,797.60, 4,197.30 and 1,336.57

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Solution

The fourth proportional to 2,797.60, 4,197.30 and 1,336.57 is: 2,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.60 : 4,197.30 = 1,336.57 : x
  2. Step 2: Convert to fraction form
    2,797.60/4,197.30 = 1,336.57/x
  3. Step 3: Cross multiply
    2,797.60x = 4,197.30 × 1,336.57
  4. Step 4: Simplify right side
    2,797.60x = 5,609,985.26
  5. Step 5: Solve for x
    x = 5,609,985.26/2,797.60
  6. Step 6: Final answer
    x = 2,005.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.