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Finding the Fourth Proportional to 2,749.42, 3,793.80 and 1,570.06

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Solution

The fourth proportional to 2,749.42, 3,793.80 and 1,570.06 is: 2,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.42 : 3,793.80 = 1,570.06 : x
  2. Step 2: Convert to fraction form
    2,749.42/3,793.80 = 1,570.06/x
  3. Step 3: Cross multiply
    2,749.42x = 3,793.80 × 1,570.06
  4. Step 4: Simplify right side
    2,749.42x = 5,956,493.63
  5. Step 5: Solve for x
    x = 5,956,493.63/2,749.42
  6. Step 6: Final answer
    x = 2,166.45

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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.