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Finding the Fourth Proportional to 2,017.90, 3,027.06 and 557.02

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Solution

The fourth proportional to 2,017.90, 3,027.06 and 557.02 is: 835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.90 : 3,027.06 = 557.02 : x
  2. Step 2: Convert to fraction form
    2,017.90/3,027.06 = 557.02/x
  3. Step 3: Cross multiply
    2,017.90x = 3,027.06 × 557.02
  4. Step 4: Simplify right side
    2,017.90x = 1,686,132.96
  5. Step 5: Solve for x
    x = 1,686,132.96/2,017.90
  6. Step 6: Final answer
    x = 835.59

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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.