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Finding the Fourth Proportional to 2,070.99, 2,859.02 and 1,597.82

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Solution

The fourth proportional to 2,070.99, 2,859.02 and 1,597.82 is: 2,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.99 : 2,859.02 = 1,597.82 : x
  2. Step 2: Convert to fraction form
    2,070.99/2,859.02 = 1,597.82/x
  3. Step 3: Cross multiply
    2,070.99x = 2,859.02 × 1,597.82
  4. Step 4: Simplify right side
    2,070.99x = 4,568,203.62
  5. Step 5: Solve for x
    x = 4,568,203.62/2,070.99
  6. Step 6: Final answer
    x = 2,205.81

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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.