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Finding the Fourth Proportional to 2,018.01, 3,026.22 and 785.24

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Solution

The fourth proportional to 2,018.01, 3,026.22 and 785.24 is: 1,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.01 : 3,026.22 = 785.24 : x
  2. Step 2: Convert to fraction form
    2,018.01/3,026.22 = 785.24/x
  3. Step 3: Cross multiply
    2,018.01x = 3,026.22 × 785.24
  4. Step 4: Simplify right side
    2,018.01x = 2,376,302.27
  5. Step 5: Solve for x
    x = 2,376,302.27/2,018.01
  6. Step 6: Final answer
    x = 1,177.55

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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.