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Finding the Fourth Proportional to 2,042.03, 3,064.19 and 871.91

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Solution

The fourth proportional to 2,042.03, 3,064.19 and 871.91 is: 1,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.03 : 3,064.19 = 871.91 : x
  2. Step 2: Convert to fraction form
    2,042.03/3,064.19 = 871.91/x
  3. Step 3: Cross multiply
    2,042.03x = 3,064.19 × 871.91
  4. Step 4: Simplify right side
    2,042.03x = 2,671,678.22
  5. Step 5: Solve for x
    x = 2,671,678.22/2,042.03
  6. Step 6: Final answer
    x = 1,308.35

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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.