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Finding the Fourth Proportional to 2,109.46, 2,910.80 and 1,301.79

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Solution

The fourth proportional to 2,109.46, 2,910.80 and 1,301.79 is: 1,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.46 : 2,910.80 = 1,301.79 : x
  2. Step 2: Convert to fraction form
    2,109.46/2,910.80 = 1,301.79/x
  3. Step 3: Cross multiply
    2,109.46x = 2,910.80 × 1,301.79
  4. Step 4: Simplify right side
    2,109.46x = 3,789,248.13
  5. Step 5: Solve for x
    x = 3,789,248.13/2,109.46
  6. Step 6: Final answer
    x = 1,796.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.