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Finding the Fourth Proportional to 3,111.80, 4,294.20 and 1,714.52

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Solution

The fourth proportional to 3,111.80, 4,294.20 and 1,714.52 is: 2,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.80 : 4,294.20 = 1,714.52 : x
  2. Step 2: Convert to fraction form
    3,111.80/4,294.20 = 1,714.52/x
  3. Step 3: Cross multiply
    3,111.80x = 4,294.20 × 1,714.52
  4. Step 4: Simplify right side
    3,111.80x = 7,362,491.78
  5. Step 5: Solve for x
    x = 7,362,491.78/3,111.80
  6. Step 6: Final answer
    x = 2,365.99

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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.