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Finding the Fourth Proportional to 2,645.29, 3,649.92 and 1,597.33

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Solution

The fourth proportional to 2,645.29, 3,649.92 and 1,597.33 is: 2,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.29 : 3,649.92 = 1,597.33 : x
  2. Step 2: Convert to fraction form
    2,645.29/3,649.92 = 1,597.33/x
  3. Step 3: Cross multiply
    2,645.29x = 3,649.92 × 1,597.33
  4. Step 4: Simplify right side
    2,645.29x = 5,830,126.71
  5. Step 5: Solve for x
    x = 5,830,126.71/2,645.29
  6. Step 6: Final answer
    x = 2,203.97

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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.