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Finding the Fourth Proportional to 3,111.91, 4,294.43 and 1,714.66

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Solution

The fourth proportional to 3,111.91, 4,294.43 and 1,714.66 is: 2,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.91 : 4,294.43 = 1,714.66 : x
  2. Step 2: Convert to fraction form
    3,111.91/4,294.43 = 1,714.66/x
  3. Step 3: Cross multiply
    3,111.91x = 4,294.43 × 1,714.66
  4. Step 4: Simplify right side
    3,111.91x = 7,363,487.34
  5. Step 5: Solve for x
    x = 7,363,487.34/3,111.91
  6. Step 6: Final answer
    x = 2,366.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.