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Finding the Fourth Proportional to 2,077.94, 3,116.92 and 538.94

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Solution

The fourth proportional to 2,077.94, 3,116.92 and 538.94 is: 808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.94 : 3,116.92 = 538.94 : x
  2. Step 2: Convert to fraction form
    2,077.94/3,116.92 = 538.94/x
  3. Step 3: Cross multiply
    2,077.94x = 3,116.92 × 538.94
  4. Step 4: Simplify right side
    2,077.94x = 1,679,832.86
  5. Step 5: Solve for x
    x = 1,679,832.86/2,077.94
  6. Step 6: Final answer
    x = 808.41

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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.