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Finding the Fourth Proportional to 2,658.16, 3,983.73 and 2,039.50

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Solution

The fourth proportional to 2,658.16, 3,983.73 and 2,039.50 is: 3,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.16 : 3,983.73 = 2,039.50 : x
  2. Step 2: Convert to fraction form
    2,658.16/3,983.73 = 2,039.50/x
  3. Step 3: Cross multiply
    2,658.16x = 3,983.73 × 2,039.50
  4. Step 4: Simplify right side
    2,658.16x = 8,124,817.34
  5. Step 5: Solve for x
    x = 8,124,817.34/2,658.16
  6. Step 6: Final answer
    x = 3,056.56

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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.