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Finding the Fourth Proportional to 2,535.71, 3,801.74 and 1,074.06

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Solution

The fourth proportional to 2,535.71, 3,801.74 and 1,074.06 is: 1,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.71 : 3,801.74 = 1,074.06 : x
  2. Step 2: Convert to fraction form
    2,535.71/3,801.74 = 1,074.06/x
  3. Step 3: Cross multiply
    2,535.71x = 3,801.74 × 1,074.06
  4. Step 4: Simplify right side
    2,535.71x = 4,083,291.49
  5. Step 5: Solve for x
    x = 4,083,291.49/2,535.71
  6. Step 6: Final answer
    x = 1,610.32

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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.