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Finding the Fourth Proportional to 2,610, 3,909.69 and 1,619.76

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Solution

The fourth proportional to 2,610, 3,909.69 and 1,619.76 is: 2,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610 : 3,909.69 = 1,619.76 : x
  2. Step 2: Convert to fraction form
    2,610/3,909.69 = 1,619.76/x
  3. Step 3: Cross multiply
    2,610x = 3,909.69 × 1,619.76
  4. Step 4: Simplify right side
    2,610x = 6,332,759.47
  5. Step 5: Solve for x
    x = 6,332,759.47/2,610
  6. Step 6: Final answer
    x = 2,426.34

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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.