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Finding the Fourth Proportional to 1,529.26, 2,110.68 and 866.14

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Solution

The fourth proportional to 1,529.26, 2,110.68 and 866.14 is: 1,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.26 : 2,110.68 = 866.14 : x
  2. Step 2: Convert to fraction form
    1,529.26/2,110.68 = 866.14/x
  3. Step 3: Cross multiply
    1,529.26x = 2,110.68 × 866.14
  4. Step 4: Simplify right side
    1,529.26x = 1,828,144.38
  5. Step 5: Solve for x
    x = 1,828,144.38/1,529.26
  6. Step 6: Final answer
    x = 1,195.44

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.