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Finding the Fourth Proportional to 2,293.65, 3,435.89 and 1,059.30

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Solution

The fourth proportional to 2,293.65, 3,435.89 and 1,059.30 is: 1,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.65 : 3,435.89 = 1,059.30 : x
  2. Step 2: Convert to fraction form
    2,293.65/3,435.89 = 1,059.30/x
  3. Step 3: Cross multiply
    2,293.65x = 3,435.89 × 1,059.30
  4. Step 4: Simplify right side
    2,293.65x = 3,639,632.98
  5. Step 5: Solve for x
    x = 3,639,632.98/2,293.65
  6. Step 6: Final answer
    x = 1,586.83

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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.