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Finding the Fourth Proportional to 2,663.16, 3,675.64 and 1,669.30

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Solution

The fourth proportional to 2,663.16, 3,675.64 and 1,669.30 is: 2,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.16 : 3,675.64 = 1,669.30 : x
  2. Step 2: Convert to fraction form
    2,663.16/3,675.64 = 1,669.30/x
  3. Step 3: Cross multiply
    2,663.16x = 3,675.64 × 1,669.30
  4. Step 4: Simplify right side
    2,663.16x = 6,135,745.85
  5. Step 5: Solve for x
    x = 6,135,745.85/2,663.16
  6. Step 6: Final answer
    x = 2,303.93

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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.