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Finding the Fourth Proportional to 2,032.46, 3,048.69 and 862.31

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Solution

The fourth proportional to 2,032.46, 3,048.69 and 862.31 is: 1,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.46 : 3,048.69 = 862.31 : x
  2. Step 2: Convert to fraction form
    2,032.46/3,048.69 = 862.31/x
  3. Step 3: Cross multiply
    2,032.46x = 3,048.69 × 862.31
  4. Step 4: Simplify right side
    2,032.46x = 2,628,900.63
  5. Step 5: Solve for x
    x = 2,628,900.63/2,032.46
  6. Step 6: Final answer
    x = 1,293.46

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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.