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Finding the Fourth Proportional to 2,820.54, 4,227.54 and 1,357.68

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Solution

The fourth proportional to 2,820.54, 4,227.54 and 1,357.68 is: 2,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.54 : 4,227.54 = 1,357.68 : x
  2. Step 2: Convert to fraction form
    2,820.54/4,227.54 = 1,357.68/x
  3. Step 3: Cross multiply
    2,820.54x = 4,227.54 × 1,357.68
  4. Step 4: Simplify right side
    2,820.54x = 5,739,646.51
  5. Step 5: Solve for x
    x = 5,739,646.51/2,820.54
  6. Step 6: Final answer
    x = 2,034.95

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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.