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Finding the Fourth Proportional to 2,040.12, 2,810.12 and 1,597.23

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Solution

The fourth proportional to 2,040.12, 2,810.12 and 1,597.23 is: 2,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.12 : 2,810.12 = 1,597.23 : x
  2. Step 2: Convert to fraction form
    2,040.12/2,810.12 = 1,597.23/x
  3. Step 3: Cross multiply
    2,040.12x = 2,810.12 × 1,597.23
  4. Step 4: Simplify right side
    2,040.12x = 4,488,399.98
  5. Step 5: Solve for x
    x = 4,488,399.98/2,040.12
  6. Step 6: Final answer
    x = 2,200.07

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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.