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Finding the Fourth Proportional to 2,293.96, 3,440.53 and 1,044.26

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Solution

The fourth proportional to 2,293.96, 3,440.53 and 1,044.26 is: 1,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.96 : 3,440.53 = 1,044.26 : x
  2. Step 2: Convert to fraction form
    2,293.96/3,440.53 = 1,044.26/x
  3. Step 3: Cross multiply
    2,293.96x = 3,440.53 × 1,044.26
  4. Step 4: Simplify right side
    2,293.96x = 3,592,816.46
  5. Step 5: Solve for x
    x = 3,592,816.46/2,293.96
  6. Step 6: Final answer
    x = 1,566.21

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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.