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Finding the Fourth Proportional to 2,942.68, 4,060.74 and 1,683.76

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Solution

The fourth proportional to 2,942.68, 4,060.74 and 1,683.76 is: 2,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.68 : 4,060.74 = 1,683.76 : x
  2. Step 2: Convert to fraction form
    2,942.68/4,060.74 = 1,683.76/x
  3. Step 3: Cross multiply
    2,942.68x = 4,060.74 × 1,683.76
  4. Step 4: Simplify right side
    2,942.68x = 6,837,311.58
  5. Step 5: Solve for x
    x = 6,837,311.58/2,942.68
  6. Step 6: Final answer
    x = 2,323.50

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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.