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Finding the Fourth Proportional to 2,018.96, 3,028.02 and 557.93

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Solution

The fourth proportional to 2,018.96, 3,028.02 and 557.93 is: 836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.96 : 3,028.02 = 557.93 : x
  2. Step 2: Convert to fraction form
    2,018.96/3,028.02 = 557.93/x
  3. Step 3: Cross multiply
    2,018.96x = 3,028.02 × 557.93
  4. Step 4: Simplify right side
    2,018.96x = 1,689,423.20
  5. Step 5: Solve for x
    x = 1,689,423.20/2,018.96
  6. Step 6: Final answer
    x = 836.78

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Why These Related Problems?

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