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Finding the Fourth Proportional to 2,337.92, 3,222.96 and 2,059.28

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Solution

The fourth proportional to 2,337.92, 3,222.96 and 2,059.28 is: 2,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.92 : 3,222.96 = 2,059.28 : x
  2. Step 2: Convert to fraction form
    2,337.92/3,222.96 = 2,059.28/x
  3. Step 3: Cross multiply
    2,337.92x = 3,222.96 × 2,059.28
  4. Step 4: Simplify right side
    2,337.92x = 6,636,977.07
  5. Step 5: Solve for x
    x = 6,636,977.07/2,337.92
  6. Step 6: Final answer
    x = 2,838.84

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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.