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Finding the Fourth Proportional to 2,071.22, 2,854.43 and 1,539.26

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Solution

The fourth proportional to 2,071.22, 2,854.43 and 1,539.26 is: 2,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.22 : 2,854.43 = 1,539.26 : x
  2. Step 2: Convert to fraction form
    2,071.22/2,854.43 = 1,539.26/x
  3. Step 3: Cross multiply
    2,071.22x = 2,854.43 × 1,539.26
  4. Step 4: Simplify right side
    2,071.22x = 4,393,695.65
  5. Step 5: Solve for x
    x = 4,393,695.65/2,071.22
  6. Step 6: Final answer
    x = 2,121.31

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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.