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Finding the Fourth Proportional to 2,057.15, 3,071.53 and 1,764.20

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Solution

The fourth proportional to 2,057.15, 3,071.53 and 1,764.20 is: 2,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.15 : 3,071.53 = 1,764.20 : x
  2. Step 2: Convert to fraction form
    2,057.15/3,071.53 = 1,764.20/x
  3. Step 3: Cross multiply
    2,057.15x = 3,071.53 × 1,764.20
  4. Step 4: Simplify right side
    2,057.15x = 5,418,793.23
  5. Step 5: Solve for x
    x = 5,418,793.23/2,057.15
  6. Step 6: Final answer
    x = 2,634.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.