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Finding the Fourth Proportional to 2,596.05, 3,894.07 and 772.05

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Solution

The fourth proportional to 2,596.05, 3,894.07 and 772.05 is: 1,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.05 : 3,894.07 = 772.05 : x
  2. Step 2: Convert to fraction form
    2,596.05/3,894.07 = 772.05/x
  3. Step 3: Cross multiply
    2,596.05x = 3,894.07 × 772.05
  4. Step 4: Simplify right side
    2,596.05x = 3,006,404.82
  5. Step 5: Solve for x
    x = 3,006,404.82/2,596.05
  6. Step 6: Final answer
    x = 1,158.07

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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.