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Finding the Fourth Proportional to 2,018.22, 3,026.57 and 977.87

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Solution

The fourth proportional to 2,018.22, 3,026.57 and 977.87 is: 1,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.22 : 3,026.57 = 977.87 : x
  2. Step 2: Convert to fraction form
    2,018.22/3,026.57 = 977.87/x
  3. Step 3: Cross multiply
    2,018.22x = 3,026.57 × 977.87
  4. Step 4: Simplify right side
    2,018.22x = 2,959,594.68
  5. Step 5: Solve for x
    x = 2,959,594.68/2,018.22
  6. Step 6: Final answer
    x = 1,466.44

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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.