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Finding the Fourth Proportional to 3,334.70, 4,601.77 and 2,156.45

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Solution

The fourth proportional to 3,334.70, 4,601.77 and 2,156.45 is: 2,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.70 : 4,601.77 = 2,156.45 : x
  2. Step 2: Convert to fraction form
    3,334.70/4,601.77 = 2,156.45/x
  3. Step 3: Cross multiply
    3,334.70x = 4,601.77 × 2,156.45
  4. Step 4: Simplify right side
    3,334.70x = 9,923,458.52
  5. Step 5: Solve for x
    x = 9,923,458.52/3,334.70
  6. Step 6: Final answer
    x = 2,975.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.