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Finding the Fourth Proportional to 1,922.76, 2,872.26 and 1,398.24

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Solution

The fourth proportional to 1,922.76, 2,872.26 and 1,398.24 is: 2,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.76 : 2,872.26 = 1,398.24 : x
  2. Step 2: Convert to fraction form
    1,922.76/2,872.26 = 1,398.24/x
  3. Step 3: Cross multiply
    1,922.76x = 2,872.26 × 1,398.24
  4. Step 4: Simplify right side
    1,922.76x = 4,016,108.82
  5. Step 5: Solve for x
    x = 4,016,108.82/1,922.76
  6. Step 6: Final answer
    x = 2,088.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.