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Finding the Fourth Proportional to 2,918.84, 4,028 and 1,592.56

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Solution

The fourth proportional to 2,918.84, 4,028 and 1,592.56 is: 2,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.84 : 4,028 = 1,592.56 : x
  2. Step 2: Convert to fraction form
    2,918.84/4,028 = 1,592.56/x
  3. Step 3: Cross multiply
    2,918.84x = 4,028 × 1,592.56
  4. Step 4: Simplify right side
    2,918.84x = 6,414,831.68
  5. Step 5: Solve for x
    x = 6,414,831.68/2,918.84
  6. Step 6: Final answer
    x = 2,197.73

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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.