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Finding the Fourth Proportional to 2,407.73, 3,612.03 and 764.69

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Solution

The fourth proportional to 2,407.73, 3,612.03 and 764.69 is: 1,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.73 : 3,612.03 = 764.69 : x
  2. Step 2: Convert to fraction form
    2,407.73/3,612.03 = 764.69/x
  3. Step 3: Cross multiply
    2,407.73x = 3,612.03 × 764.69
  4. Step 4: Simplify right side
    2,407.73x = 2,762,065.16
  5. Step 5: Solve for x
    x = 2,762,065.16/2,407.73
  6. Step 6: Final answer
    x = 1,147.17

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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.