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Finding the Fourth Proportional to 3,054.67, 4,215.42 and 1,657.42

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Solution

The fourth proportional to 3,054.67, 4,215.42 and 1,657.42 is: 2,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.67 : 4,215.42 = 1,657.42 : x
  2. Step 2: Convert to fraction form
    3,054.67/4,215.42 = 1,657.42/x
  3. Step 3: Cross multiply
    3,054.67x = 4,215.42 × 1,657.42
  4. Step 4: Simplify right side
    3,054.67x = 6,986,710.88
  5. Step 5: Solve for x
    x = 6,986,710.88/3,054.67
  6. Step 6: Final answer
    x = 2,287.22

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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.