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Finding the Fourth Proportional to 2,160.05, 2,979.16 and 1,451.81

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Solution

The fourth proportional to 2,160.05, 2,979.16 and 1,451.81 is: 2,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.05 : 2,979.16 = 1,451.81 : x
  2. Step 2: Convert to fraction form
    2,160.05/2,979.16 = 1,451.81/x
  3. Step 3: Cross multiply
    2,160.05x = 2,979.16 × 1,451.81
  4. Step 4: Simplify right side
    2,160.05x = 4,325,174.28
  5. Step 5: Solve for x
    x = 4,325,174.28/2,160.05
  6. Step 6: Final answer
    x = 2,002.35

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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.