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Finding the Fourth Proportional to 2,625.57, 3,623.28 and 1,577.84

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Solution

The fourth proportional to 2,625.57, 3,623.28 and 1,577.84 is: 2,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.57 : 3,623.28 = 1,577.84 : x
  2. Step 2: Convert to fraction form
    2,625.57/3,623.28 = 1,577.84/x
  3. Step 3: Cross multiply
    2,625.57x = 3,623.28 × 1,577.84
  4. Step 4: Simplify right side
    2,625.57x = 5,716,938.00
  5. Step 5: Solve for x
    x = 5,716,938.00/2,625.57
  6. Step 6: Final answer
    x = 2,177.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.