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Finding the Fourth Proportional to 2,577.72, 3,857.34 and 2,232.25

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Solution

The fourth proportional to 2,577.72, 3,857.34 and 2,232.25 is: 3,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.72 : 3,857.34 = 2,232.25 : x
  2. Step 2: Convert to fraction form
    2,577.72/3,857.34 = 2,232.25/x
  3. Step 3: Cross multiply
    2,577.72x = 3,857.34 × 2,232.25
  4. Step 4: Simplify right side
    2,577.72x = 8,610,547.22
  5. Step 5: Solve for x
    x = 8,610,547.22/2,577.72
  6. Step 6: Final answer
    x = 3,340.37

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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.