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Finding the Fourth Proportional to 2,645.12, 3,649.74 and 1,597.24

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Solution

The fourth proportional to 2,645.12, 3,649.74 and 1,597.24 is: 2,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.12 : 3,649.74 = 1,597.24 : x
  2. Step 2: Convert to fraction form
    2,645.12/3,649.74 = 1,597.24/x
  3. Step 3: Cross multiply
    2,645.12x = 3,649.74 × 1,597.24
  4. Step 4: Simplify right side
    2,645.12x = 5,829,510.72
  5. Step 5: Solve for x
    x = 5,829,510.72/2,645.12
  6. Step 6: Final answer
    x = 2,203.87

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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.