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Finding the Fourth Proportional to 1,682.24, 2,521.49 and 585.99

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Solution

The fourth proportional to 1,682.24, 2,521.49 and 585.99 is: 878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.24 : 2,521.49 = 585.99 : x
  2. Step 2: Convert to fraction form
    1,682.24/2,521.49 = 585.99/x
  3. Step 3: Cross multiply
    1,682.24x = 2,521.49 × 585.99
  4. Step 4: Simplify right side
    1,682.24x = 1,477,565.00
  5. Step 5: Solve for x
    x = 1,477,565.00/1,682.24
  6. Step 6: Final answer
    x = 878.33

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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.