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Finding the Fourth Proportional to 2,749.22, 3,793.93 and 1,570.29

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Solution

The fourth proportional to 2,749.22, 3,793.93 and 1,570.29 is: 2,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.22 : 3,793.93 = 1,570.29 : x
  2. Step 2: Convert to fraction form
    2,749.22/3,793.93 = 1,570.29/x
  3. Step 3: Cross multiply
    2,749.22x = 3,793.93 × 1,570.29
  4. Step 4: Simplify right side
    2,749.22x = 5,957,552.19
  5. Step 5: Solve for x
    x = 5,957,552.19/2,749.22
  6. Step 6: Final answer
    x = 2,167.00

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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.