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Finding the Fourth Proportional to 1,585.83, 2,379.77 and 855.92

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Solution

The fourth proportional to 1,585.83, 2,379.77 and 855.92 is: 1,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.83 : 2,379.77 = 855.92 : x
  2. Step 2: Convert to fraction form
    1,585.83/2,379.77 = 855.92/x
  3. Step 3: Cross multiply
    1,585.83x = 2,379.77 × 855.92
  4. Step 4: Simplify right side
    1,585.83x = 2,036,892.74
  5. Step 5: Solve for x
    x = 2,036,892.74/1,585.83
  6. Step 6: Final answer
    x = 1,284.43

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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.