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Finding the Fourth Proportional to 2,597.78, 3,583.77 and 1,603.10

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Solution

The fourth proportional to 2,597.78, 3,583.77 and 1,603.10 is: 2,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.78 : 3,583.77 = 1,603.10 : x
  2. Step 2: Convert to fraction form
    2,597.78/3,583.77 = 1,603.10/x
  3. Step 3: Cross multiply
    2,597.78x = 3,583.77 × 1,603.10
  4. Step 4: Simplify right side
    2,597.78x = 5,745,141.69
  5. Step 5: Solve for x
    x = 5,745,141.69/2,597.78
  6. Step 6: Final answer
    x = 2,211.56

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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.