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Finding the Fourth Proportional to 1,636.91, 2,456.38 and 857.52

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Solution

The fourth proportional to 1,636.91, 2,456.38 and 857.52 is: 1,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.91 : 2,456.38 = 857.52 : x
  2. Step 2: Convert to fraction form
    1,636.91/2,456.38 = 857.52/x
  3. Step 3: Cross multiply
    1,636.91x = 2,456.38 × 857.52
  4. Step 4: Simplify right side
    1,636.91x = 2,106,401.59
  5. Step 5: Solve for x
    x = 2,106,401.59/1,636.91
  6. Step 6: Final answer
    x = 1,286.82

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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.