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Finding the Fourth Proportional to 2,105.40, 3,160.06 and 1,066.14

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Solution

The fourth proportional to 2,105.40, 3,160.06 and 1,066.14 is: 1,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.40 : 3,160.06 = 1,066.14 : x
  2. Step 2: Convert to fraction form
    2,105.40/3,160.06 = 1,066.14/x
  3. Step 3: Cross multiply
    2,105.40x = 3,160.06 × 1,066.14
  4. Step 4: Simplify right side
    2,105.40x = 3,369,063.70
  5. Step 5: Solve for x
    x = 3,369,063.70/2,105.40
  6. Step 6: Final answer
    x = 1,600.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.