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Finding the Fourth Proportional to 1,686.69, 2,529.93 and 809.82

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Solution

The fourth proportional to 1,686.69, 2,529.93 and 809.82 is: 1,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.69 : 2,529.93 = 809.82 : x
  2. Step 2: Convert to fraction form
    1,686.69/2,529.93 = 809.82/x
  3. Step 3: Cross multiply
    1,686.69x = 2,529.93 × 809.82
  4. Step 4: Simplify right side
    1,686.69x = 2,048,787.91
  5. Step 5: Solve for x
    x = 2,048,787.91/1,686.69
  6. Step 6: Final answer
    x = 1,214.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.