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Finding the Fourth Proportional to 2,858.39, 4,289.21 and 1,542.12

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Solution

The fourth proportional to 2,858.39, 4,289.21 and 1,542.12 is: 2,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.39 : 4,289.21 = 1,542.12 : x
  2. Step 2: Convert to fraction form
    2,858.39/4,289.21 = 1,542.12/x
  3. Step 3: Cross multiply
    2,858.39x = 4,289.21 × 1,542.12
  4. Step 4: Simplify right side
    2,858.39x = 6,614,468.81
  5. Step 5: Solve for x
    x = 6,614,468.81/2,858.39
  6. Step 6: Final answer
    x = 2,314.06

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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.