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Finding the Fourth Proportional to 2,604.68, 3,587.14 and 2,596.56

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Solution

The fourth proportional to 2,604.68, 3,587.14 and 2,596.56 is: 3,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.68 : 3,587.14 = 2,596.56 : x
  2. Step 2: Convert to fraction form
    2,604.68/3,587.14 = 2,596.56/x
  3. Step 3: Cross multiply
    2,604.68x = 3,587.14 × 2,596.56
  4. Step 4: Simplify right side
    2,604.68x = 9,314,224.24
  5. Step 5: Solve for x
    x = 9,314,224.24/2,604.68
  6. Step 6: Final answer
    x = 3,575.96

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