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Finding the Fourth Proportional to 1,682.73, 2,320.40 and 1,328.06

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Solution

The fourth proportional to 1,682.73, 2,320.40 and 1,328.06 is: 1,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.73 : 2,320.40 = 1,328.06 : x
  2. Step 2: Convert to fraction form
    1,682.73/2,320.40 = 1,328.06/x
  3. Step 3: Cross multiply
    1,682.73x = 2,320.40 × 1,328.06
  4. Step 4: Simplify right side
    1,682.73x = 3,081,639.55
  5. Step 5: Solve for x
    x = 3,081,639.55/1,682.73
  6. Step 6: Final answer
    x = 1,831.33

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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.