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Finding the Fourth Proportional to 2,293.65, 3,164.09 and 1,454.13

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Solution

The fourth proportional to 2,293.65, 3,164.09 and 1,454.13 is: 2,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.65 : 3,164.09 = 1,454.13 : x
  2. Step 2: Convert to fraction form
    2,293.65/3,164.09 = 1,454.13/x
  3. Step 3: Cross multiply
    2,293.65x = 3,164.09 × 1,454.13
  4. Step 4: Simplify right side
    2,293.65x = 4,600,990.92
  5. Step 5: Solve for x
    x = 4,600,990.92/2,293.65
  6. Step 6: Final answer
    x = 2,005.97

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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.