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Finding the Fourth Proportional to 3,315.86, 4,973.76 and 850.66

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Solution

The fourth proportional to 3,315.86, 4,973.76 and 850.66 is: 1,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.86 : 4,973.76 = 850.66 : x
  2. Step 2: Convert to fraction form
    3,315.86/4,973.76 = 850.66/x
  3. Step 3: Cross multiply
    3,315.86x = 4,973.76 × 850.66
  4. Step 4: Simplify right side
    3,315.86x = 4,230,978.68
  5. Step 5: Solve for x
    x = 4,230,978.68/3,315.86
  6. Step 6: Final answer
    x = 1,275.98

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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.