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Finding the Fourth Proportional to 2,102.29, 2,900.20 and 1,429.27

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Solution

The fourth proportional to 2,102.29, 2,900.20 and 1,429.27 is: 1,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.29 : 2,900.20 = 1,429.27 : x
  2. Step 2: Convert to fraction form
    2,102.29/2,900.20 = 1,429.27/x
  3. Step 3: Cross multiply
    2,102.29x = 2,900.20 × 1,429.27
  4. Step 4: Simplify right side
    2,102.29x = 4,145,168.85
  5. Step 5: Solve for x
    x = 4,145,168.85/2,102.29
  6. Step 6: Final answer
    x = 1,971.74

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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.