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Finding the Fourth Proportional to 2,018.20, 3,026.76 and 557.02

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Solution

The fourth proportional to 2,018.20, 3,026.76 and 557.02 is: 835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.20 : 3,026.76 = 557.02 : x
  2. Step 2: Convert to fraction form
    2,018.20/3,026.76 = 557.02/x
  3. Step 3: Cross multiply
    2,018.20x = 3,026.76 × 557.02
  4. Step 4: Simplify right side
    2,018.20x = 1,685,965.86
  5. Step 5: Solve for x
    x = 1,685,965.86/2,018.20
  6. Step 6: Final answer
    x = 835.38

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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.