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Finding the Fourth Proportional to 2,597.96, 3,893.48 and 1,135.52

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Solution

The fourth proportional to 2,597.96, 3,893.48 and 1,135.52 is: 1,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.96 : 3,893.48 = 1,135.52 : x
  2. Step 2: Convert to fraction form
    2,597.96/3,893.48 = 1,135.52/x
  3. Step 3: Cross multiply
    2,597.96x = 3,893.48 × 1,135.52
  4. Step 4: Simplify right side
    2,597.96x = 4,421,107.78
  5. Step 5: Solve for x
    x = 4,421,107.78/2,597.96
  6. Step 6: Final answer
    x = 1,701.76

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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.