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Finding the Fourth Proportional to 2,058.86, 2,822.16 and 2,031.17

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Solution

The fourth proportional to 2,058.86, 2,822.16 and 2,031.17 is: 2,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.86 : 2,822.16 = 2,031.17 : x
  2. Step 2: Convert to fraction form
    2,058.86/2,822.16 = 2,031.17/x
  3. Step 3: Cross multiply
    2,058.86x = 2,822.16 × 2,031.17
  4. Step 4: Simplify right side
    2,058.86x = 5,732,272.62
  5. Step 5: Solve for x
    x = 5,732,272.62/2,058.86
  6. Step 6: Final answer
    x = 2,784.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.