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Finding the Fourth Proportional to 1,659.90, 2,489.04 and 619.86

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Solution

The fourth proportional to 1,659.90, 2,489.04 and 619.86 is: 929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.90 : 2,489.04 = 619.86 : x
  2. Step 2: Convert to fraction form
    1,659.90/2,489.04 = 619.86/x
  3. Step 3: Cross multiply
    1,659.90x = 2,489.04 × 619.86
  4. Step 4: Simplify right side
    1,659.90x = 1,542,856.33
  5. Step 5: Solve for x
    x = 1,542,856.33/1,659.90
  6. Step 6: Final answer
    x = 929.49

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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.