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Finding the Fourth Proportional to 1,831.08, 2,521.44 and 1,629

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Solution

The fourth proportional to 1,831.08, 2,521.44 and 1,629 is: 2,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.08 : 2,521.44 = 1,629 : x
  2. Step 2: Convert to fraction form
    1,831.08/2,521.44 = 1,629/x
  3. Step 3: Cross multiply
    1,831.08x = 2,521.44 × 1,629
  4. Step 4: Simplify right side
    1,831.08x = 4,107,425.76
  5. Step 5: Solve for x
    x = 4,107,425.76/1,831.08
  6. Step 6: Final answer
    x = 2,243.17

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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.