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Finding the Fourth Proportional to 1,586.80, 2,380.36 and 661.84

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Solution

The fourth proportional to 1,586.80, 2,380.36 and 661.84 is: 992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.80 : 2,380.36 = 661.84 : x
  2. Step 2: Convert to fraction form
    1,586.80/2,380.36 = 661.84/x
  3. Step 3: Cross multiply
    1,586.80x = 2,380.36 × 661.84
  4. Step 4: Simplify right side
    1,586.80x = 1,575,409.86
  5. Step 5: Solve for x
    x = 1,575,409.86/1,586.80
  6. Step 6: Final answer
    x = 992.82

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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.