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Finding the Fourth Proportional to 2,028, 2,797.56 and 1,363.71

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Solution

The fourth proportional to 2,028, 2,797.56 and 1,363.71 is: 1,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028 : 2,797.56 = 1,363.71 : x
  2. Step 2: Convert to fraction form
    2,028/2,797.56 = 1,363.71/x
  3. Step 3: Cross multiply
    2,028x = 2,797.56 × 1,363.71
  4. Step 4: Simplify right side
    2,028x = 3,815,060.55
  5. Step 5: Solve for x
    x = 3,815,060.55/2,028
  6. Step 6: Final answer
    x = 1,881.19

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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.