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Finding the Fourth Proportional to 1,586.80, 2,378.49 and 661.66

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Solution

The fourth proportional to 1,586.80, 2,378.49 and 661.66 is: 991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.80 : 2,378.49 = 661.66 : x
  2. Step 2: Convert to fraction form
    1,586.80/2,378.49 = 661.66/x
  3. Step 3: Cross multiply
    1,586.80x = 2,378.49 × 661.66
  4. Step 4: Simplify right side
    1,586.80x = 1,573,751.69
  5. Step 5: Solve for x
    x = 1,573,751.69/1,586.80
  6. Step 6: Final answer
    x = 991.78

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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.