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Finding the Fourth Proportional to 2,735.59, 4,121.85 and 2,259.31

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Solution

The fourth proportional to 2,735.59, 4,121.85 and 2,259.31 is: 3,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.59 : 4,121.85 = 2,259.31 : x
  2. Step 2: Convert to fraction form
    2,735.59/4,121.85 = 2,259.31/x
  3. Step 3: Cross multiply
    2,735.59x = 4,121.85 × 2,259.31
  4. Step 4: Simplify right side
    2,735.59x = 9,312,536.92
  5. Step 5: Solve for x
    x = 9,312,536.92/2,735.59
  6. Step 6: Final answer
    x = 3,404.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.