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Finding the Fourth Proportional to 2,577.57, 3,866.37 and 846.21

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Solution

The fourth proportional to 2,577.57, 3,866.37 and 846.21 is: 1,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.57 : 3,866.37 = 846.21 : x
  2. Step 2: Convert to fraction form
    2,577.57/3,866.37 = 846.21/x
  3. Step 3: Cross multiply
    2,577.57x = 3,866.37 × 846.21
  4. Step 4: Simplify right side
    2,577.57x = 3,271,760.96
  5. Step 5: Solve for x
    x = 3,271,760.96/2,577.57
  6. Step 6: Final answer
    x = 1,269.32

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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.