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Finding the Fourth Proportional to 2,407.38, 3,610.56 and 764.07

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Solution

The fourth proportional to 2,407.38, 3,610.56 and 764.07 is: 1,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.38 : 3,610.56 = 764.07 : x
  2. Step 2: Convert to fraction form
    2,407.38/3,610.56 = 764.07/x
  3. Step 3: Cross multiply
    2,407.38x = 3,610.56 × 764.07
  4. Step 4: Simplify right side
    2,407.38x = 2,758,720.58
  5. Step 5: Solve for x
    x = 2,758,720.58/2,407.38
  6. Step 6: Final answer
    x = 1,145.94

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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.