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Finding the Fourth Proportional to 3,111.75, 4,294.31 and 1,714.59

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Solution

The fourth proportional to 3,111.75, 4,294.31 and 1,714.59 is: 2,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.75 : 4,294.31 = 1,714.59 : x
  2. Step 2: Convert to fraction form
    3,111.75/4,294.31 = 1,714.59/x
  3. Step 3: Cross multiply
    3,111.75x = 4,294.31 × 1,714.59
  4. Step 4: Simplify right side
    3,111.75x = 7,362,972.41
  5. Step 5: Solve for x
    x = 7,362,972.41/3,111.75
  6. Step 6: Final answer
    x = 2,366.18

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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.