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Finding the Fourth Proportional to 2,032.18, 3,048.26 and 937.46

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Solution

The fourth proportional to 2,032.18, 3,048.26 and 937.46 is: 1,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.18 : 3,048.26 = 937.46 : x
  2. Step 2: Convert to fraction form
    2,032.18/3,048.26 = 937.46/x
  3. Step 3: Cross multiply
    2,032.18x = 3,048.26 × 937.46
  4. Step 4: Simplify right side
    2,032.18x = 2,857,621.82
  5. Step 5: Solve for x
    x = 2,857,621.82/2,032.18
  6. Step 6: Final answer
    x = 1,406.19

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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.