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Finding the Fourth Proportional to 1,746.29, 2,618.43 and 866.84

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Solution

The fourth proportional to 1,746.29, 2,618.43 and 866.84 is: 1,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.29 : 2,618.43 = 866.84 : x
  2. Step 2: Convert to fraction form
    1,746.29/2,618.43 = 866.84/x
  3. Step 3: Cross multiply
    1,746.29x = 2,618.43 × 866.84
  4. Step 4: Simplify right side
    1,746.29x = 2,269,743.52
  5. Step 5: Solve for x
    x = 2,269,743.52/1,746.29
  6. Step 6: Final answer
    x = 1,299.75

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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.