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Finding the Fourth Proportional to 1,689, 2,533.93 and 1,196.38

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Solution

The fourth proportional to 1,689, 2,533.93 and 1,196.38 is: 1,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689 : 2,533.93 = 1,196.38 : x
  2. Step 2: Convert to fraction form
    1,689/2,533.93 = 1,196.38/x
  3. Step 3: Cross multiply
    1,689x = 2,533.93 × 1,196.38
  4. Step 4: Simplify right side
    1,689x = 3,031,543.17
  5. Step 5: Solve for x
    x = 3,031,543.17/1,689
  6. Step 6: Final answer
    x = 1,794.87

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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.