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Finding the Fourth Proportional to 2,632.86, 3,950.01 and 783.96

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Solution

The fourth proportional to 2,632.86, 3,950.01 and 783.96 is: 1,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.86 : 3,950.01 = 783.96 : x
  2. Step 2: Convert to fraction form
    2,632.86/3,950.01 = 783.96/x
  3. Step 3: Cross multiply
    2,632.86x = 3,950.01 × 783.96
  4. Step 4: Simplify right side
    2,632.86x = 3,096,649.84
  5. Step 5: Solve for x
    x = 3,096,649.84/2,632.86
  6. Step 6: Final answer
    x = 1,176.15

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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.