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Finding the Fourth Proportional to 2,293.04, 3,440.93 and 832.31

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Solution

The fourth proportional to 2,293.04, 3,440.93 and 832.31 is: 1,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.04 : 3,440.93 = 832.31 : x
  2. Step 2: Convert to fraction form
    2,293.04/3,440.93 = 832.31/x
  3. Step 3: Cross multiply
    2,293.04x = 3,440.93 × 832.31
  4. Step 4: Simplify right side
    2,293.04x = 2,863,911.99
  5. Step 5: Solve for x
    x = 2,863,911.99/2,293.04
  6. Step 6: Final answer
    x = 1,248.96

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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.