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Finding the Fourth Proportional to 2,026.64, 2,794.92 and 1,328.24

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Solution

The fourth proportional to 2,026.64, 2,794.92 and 1,328.24 is: 1,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.64 : 2,794.92 = 1,328.24 : x
  2. Step 2: Convert to fraction form
    2,026.64/2,794.92 = 1,328.24/x
  3. Step 3: Cross multiply
    2,026.64x = 2,794.92 × 1,328.24
  4. Step 4: Simplify right side
    2,026.64x = 3,712,324.54
  5. Step 5: Solve for x
    x = 3,712,324.54/2,026.64
  6. Step 6: Final answer
    x = 1,831.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.