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Finding the Fourth Proportional to 1,969.67, 2,713.25 and 1,595.63

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Solution

The fourth proportional to 1,969.67, 2,713.25 and 1,595.63 is: 2,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.67 : 2,713.25 = 1,595.63 : x
  2. Step 2: Convert to fraction form
    1,969.67/2,713.25 = 1,595.63/x
  3. Step 3: Cross multiply
    1,969.67x = 2,713.25 × 1,595.63
  4. Step 4: Simplify right side
    1,969.67x = 4,329,353.87
  5. Step 5: Solve for x
    x = 4,329,353.87/1,969.67
  6. Step 6: Final answer
    x = 2,198.01

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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.