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Finding the Fourth Proportional to 1,586.26, 2,378.13 and 661.24

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Solution

The fourth proportional to 1,586.26, 2,378.13 and 661.24 is: 991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.26 : 2,378.13 = 661.24 : x
  2. Step 2: Convert to fraction form
    1,586.26/2,378.13 = 661.24/x
  3. Step 3: Cross multiply
    1,586.26x = 2,378.13 × 661.24
  4. Step 4: Simplify right side
    1,586.26x = 1,572,514.68
  5. Step 5: Solve for x
    x = 1,572,514.68/1,586.26
  6. Step 6: Final answer
    x = 991.33

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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.