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Finding the Fourth Proportional to 2,134.80, 2,949.48 and 1,609.92

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Solution

The fourth proportional to 2,134.80, 2,949.48 and 1,609.92 is: 2,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.80 : 2,949.48 = 1,609.92 : x
  2. Step 2: Convert to fraction form
    2,134.80/2,949.48 = 1,609.92/x
  3. Step 3: Cross multiply
    2,134.80x = 2,949.48 × 1,609.92
  4. Step 4: Simplify right side
    2,134.80x = 4,748,426.84
  5. Step 5: Solve for x
    x = 4,748,426.84/2,134.80
  6. Step 6: Final answer
    x = 2,224.30

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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.