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Finding the Fourth Proportional to 2,380.07, 3,570.45 and 736.76

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Solution

The fourth proportional to 2,380.07, 3,570.45 and 736.76 is: 1,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.07 : 3,570.45 = 736.76 : x
  2. Step 2: Convert to fraction form
    2,380.07/3,570.45 = 736.76/x
  3. Step 3: Cross multiply
    2,380.07x = 3,570.45 × 736.76
  4. Step 4: Simplify right side
    2,380.07x = 2,630,546.89
  5. Step 5: Solve for x
    x = 2,630,546.89/2,380.07
  6. Step 6: Final answer
    x = 1,105.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.