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Finding the Fourth Proportional to 3,121.98, 4,684.41 and 1,561.92

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Solution

The fourth proportional to 3,121.98, 4,684.41 and 1,561.92 is: 2,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.98 : 4,684.41 = 1,561.92 : x
  2. Step 2: Convert to fraction form
    3,121.98/4,684.41 = 1,561.92/x
  3. Step 3: Cross multiply
    3,121.98x = 4,684.41 × 1,561.92
  4. Step 4: Simplify right side
    3,121.98x = 7,316,673.67
  5. Step 5: Solve for x
    x = 7,316,673.67/3,121.98
  6. Step 6: Final answer
    x = 2,343.60

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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.