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Finding the Fourth Proportional to 2,577.04, 3,867 and 846.16

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Solution

The fourth proportional to 2,577.04, 3,867 and 846.16 is: 1,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.04 : 3,867 = 846.16 : x
  2. Step 2: Convert to fraction form
    2,577.04/3,867 = 846.16/x
  3. Step 3: Cross multiply
    2,577.04x = 3,867 × 846.16
  4. Step 4: Simplify right side
    2,577.04x = 3,272,100.72
  5. Step 5: Solve for x
    x = 3,272,100.72/2,577.04
  6. Step 6: Final answer
    x = 1,269.71

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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.