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Finding the Fourth Proportional to 2,869.15, 3,954.02 and 2,071.07

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Solution

The fourth proportional to 2,869.15, 3,954.02 and 2,071.07 is: 2,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.15 : 3,954.02 = 2,071.07 : x
  2. Step 2: Convert to fraction form
    2,869.15/3,954.02 = 2,071.07/x
  3. Step 3: Cross multiply
    2,869.15x = 3,954.02 × 2,071.07
  4. Step 4: Simplify right side
    2,869.15x = 8,189,052.20
  5. Step 5: Solve for x
    x = 8,189,052.20/2,869.15
  6. Step 6: Final answer
    x = 2,854.17

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Why These Related Problems?

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