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Finding the Fourth Proportional to 2,293.69, 3,440.04 and 1,059.94

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Solution

The fourth proportional to 2,293.69, 3,440.04 and 1,059.94 is: 1,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.69 : 3,440.04 = 1,059.94 : x
  2. Step 2: Convert to fraction form
    2,293.69/3,440.04 = 1,059.94/x
  3. Step 3: Cross multiply
    2,293.69x = 3,440.04 × 1,059.94
  4. Step 4: Simplify right side
    2,293.69x = 3,646,225.92
  5. Step 5: Solve for x
    x = 3,646,225.92/2,293.69
  6. Step 6: Final answer
    x = 1,589.68

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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.