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Finding the Fourth Proportional to 1,682.37, 2,521.23 and 858.91

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Solution

The fourth proportional to 1,682.37, 2,521.23 and 858.91 is: 1,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.37 : 2,521.23 = 858.91 : x
  2. Step 2: Convert to fraction form
    1,682.37/2,521.23 = 858.91/x
  3. Step 3: Cross multiply
    1,682.37x = 2,521.23 × 858.91
  4. Step 4: Simplify right side
    1,682.37x = 2,165,509.66
  5. Step 5: Solve for x
    x = 2,165,509.66/1,682.37
  6. Step 6: Final answer
    x = 1,287.18

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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.