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Finding the Fourth Proportional to 2,663.29, 3,675.35 and 1,601.67

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Solution

The fourth proportional to 2,663.29, 3,675.35 and 1,601.67 is: 2,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.29 : 3,675.35 = 1,601.67 : x
  2. Step 2: Convert to fraction form
    2,663.29/3,675.35 = 1,601.67/x
  3. Step 3: Cross multiply
    2,663.29x = 3,675.35 × 1,601.67
  4. Step 4: Simplify right side
    2,663.29x = 5,886,691.94
  5. Step 5: Solve for x
    x = 5,886,691.94/2,663.29
  6. Step 6: Final answer
    x = 2,210.31

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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.