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Finding the Fourth Proportional to 2,224.63, 3,070.16 and 1,293.31

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Solution

The fourth proportional to 2,224.63, 3,070.16 and 1,293.31 is: 1,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.63 : 3,070.16 = 1,293.31 : x
  2. Step 2: Convert to fraction form
    2,224.63/3,070.16 = 1,293.31/x
  3. Step 3: Cross multiply
    2,224.63x = 3,070.16 × 1,293.31
  4. Step 4: Simplify right side
    2,224.63x = 3,970,668.63
  5. Step 5: Solve for x
    x = 3,970,668.63/2,224.63
  6. Step 6: Final answer
    x = 1,784.87

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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.