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Finding the Fourth Proportional to 2,101.27, 2,899.07 and 1,353.91

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Solution

The fourth proportional to 2,101.27, 2,899.07 and 1,353.91 is: 1,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.27 : 2,899.07 = 1,353.91 : x
  2. Step 2: Convert to fraction form
    2,101.27/2,899.07 = 1,353.91/x
  3. Step 3: Cross multiply
    2,101.27x = 2,899.07 × 1,353.91
  4. Step 4: Simplify right side
    2,101.27x = 3,925,079.86
  5. Step 5: Solve for x
    x = 3,925,079.86/2,101.27
  6. Step 6: Final answer
    x = 1,867.96

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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.