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Finding the Fourth Proportional to 2,749.34, 3,794.07 and 1,570.42

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Solution

The fourth proportional to 2,749.34, 3,794.07 and 1,570.42 is: 2,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.34 : 3,794.07 = 1,570.42 : x
  2. Step 2: Convert to fraction form
    2,749.34/3,794.07 = 1,570.42/x
  3. Step 3: Cross multiply
    2,749.34x = 3,794.07 × 1,570.42
  4. Step 4: Simplify right side
    2,749.34x = 5,958,294.04
  5. Step 5: Solve for x
    x = 5,958,294.04/2,749.34
  6. Step 6: Final answer
    x = 2,167.17

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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.