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Finding the Fourth Proportional to 1,552.80, 2,325.21 and 858.69

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Solution

The fourth proportional to 1,552.80, 2,325.21 and 858.69 is: 1,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.80 : 2,325.21 = 858.69 : x
  2. Step 2: Convert to fraction form
    1,552.80/2,325.21 = 858.69/x
  3. Step 3: Cross multiply
    1,552.80x = 2,325.21 × 858.69
  4. Step 4: Simplify right side
    1,552.80x = 1,996,634.57
  5. Step 5: Solve for x
    x = 1,996,634.57/1,552.80
  6. Step 6: Final answer
    x = 1,285.83

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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.