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Finding the Fourth Proportional to 2,945.28, 4,418.55 and 998.76

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Solution

The fourth proportional to 2,945.28, 4,418.55 and 998.76 is: 1,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.28 : 4,418.55 = 998.76 : x
  2. Step 2: Convert to fraction form
    2,945.28/4,418.55 = 998.76/x
  3. Step 3: Cross multiply
    2,945.28x = 4,418.55 × 998.76
  4. Step 4: Simplify right side
    2,945.28x = 4,413,071.00
  5. Step 5: Solve for x
    x = 4,413,071.00/2,945.28
  6. Step 6: Final answer
    x = 1,498.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.