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Finding the Fourth Proportional to 1,921.22, 2,648.50 and 1,654.51

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Solution

The fourth proportional to 1,921.22, 2,648.50 and 1,654.51 is: 2,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.22 : 2,648.50 = 1,654.51 : x
  2. Step 2: Convert to fraction form
    1,921.22/2,648.50 = 1,654.51/x
  3. Step 3: Cross multiply
    1,921.22x = 2,648.50 × 1,654.51
  4. Step 4: Simplify right side
    1,921.22x = 4,381,961.46
  5. Step 5: Solve for x
    x = 4,381,961.46/1,921.22
  6. Step 6: Final answer
    x = 2,280.82

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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.