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Finding the Fourth Proportional to 1,687.99, 2,534.34 and 866.83

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Solution

The fourth proportional to 1,687.99, 2,534.34 and 866.83 is: 1,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.99 : 2,534.34 = 866.83 : x
  2. Step 2: Convert to fraction form
    1,687.99/2,534.34 = 866.83/x
  3. Step 3: Cross multiply
    1,687.99x = 2,534.34 × 866.83
  4. Step 4: Simplify right side
    1,687.99x = 2,196,841.94
  5. Step 5: Solve for x
    x = 2,196,841.94/1,687.99
  6. Step 6: Final answer
    x = 1,301.45

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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.