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Finding the Fourth Proportional to 2,042.01, 3,062.91 and 580.98

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Solution

The fourth proportional to 2,042.01, 3,062.91 and 580.98 is: 871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.01 : 3,062.91 = 580.98 : x
  2. Step 2: Convert to fraction form
    2,042.01/3,062.91 = 580.98/x
  3. Step 3: Cross multiply
    2,042.01x = 3,062.91 × 580.98
  4. Step 4: Simplify right side
    2,042.01x = 1,779,489.45
  5. Step 5: Solve for x
    x = 1,779,489.45/2,042.01
  6. Step 6: Final answer
    x = 871.44

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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.