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Finding the Fourth Proportional to 2,032.64, 3,033.76 and 1,744.64

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Solution

The fourth proportional to 2,032.64, 3,033.76 and 1,744.64 is: 2,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.64 : 3,033.76 = 1,744.64 : x
  2. Step 2: Convert to fraction form
    2,032.64/3,033.76 = 1,744.64/x
  3. Step 3: Cross multiply
    2,032.64x = 3,033.76 × 1,744.64
  4. Step 4: Simplify right side
    2,032.64x = 5,292,819.05
  5. Step 5: Solve for x
    x = 5,292,819.05/2,032.64
  6. Step 6: Final answer
    x = 2,603.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.