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Finding the Fourth Proportional to 2,606.13, 3,597.65 and 1,663.20

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Solution

The fourth proportional to 2,606.13, 3,597.65 and 1,663.20 is: 2,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.13 : 3,597.65 = 1,663.20 : x
  2. Step 2: Convert to fraction form
    2,606.13/3,597.65 = 1,663.20/x
  3. Step 3: Cross multiply
    2,606.13x = 3,597.65 × 1,663.20
  4. Step 4: Simplify right side
    2,606.13x = 5,983,603.16
  5. Step 5: Solve for x
    x = 5,983,603.16/2,606.13
  6. Step 6: Final answer
    x = 2,295.97

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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.