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Finding the Fourth Proportional to 2,229.16, 3,079.74 and 1,534.24

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Solution

The fourth proportional to 2,229.16, 3,079.74 and 1,534.24 is: 2,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.16 : 3,079.74 = 1,534.24 : x
  2. Step 2: Convert to fraction form
    2,229.16/3,079.74 = 1,534.24/x
  3. Step 3: Cross multiply
    2,229.16x = 3,079.74 × 1,534.24
  4. Step 4: Simplify right side
    2,229.16x = 4,725,060.30
  5. Step 5: Solve for x
    x = 4,725,060.30/2,229.16
  6. Step 6: Final answer
    x = 2,119.66

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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.