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Finding the Fourth Proportional to 2,427.01, 3,638.84 and 1,602.78

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Solution

The fourth proportional to 2,427.01, 3,638.84 and 1,602.78 is: 2,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.01 : 3,638.84 = 1,602.78 : x
  2. Step 2: Convert to fraction form
    2,427.01/3,638.84 = 1,602.78/x
  3. Step 3: Cross multiply
    2,427.01x = 3,638.84 × 1,602.78
  4. Step 4: Simplify right side
    2,427.01x = 5,832,251.96
  5. Step 5: Solve for x
    x = 5,832,251.96/2,427.01
  6. Step 6: Final answer
    x = 2,403.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.