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Finding the Fourth Proportional to 1,709.24, 2,369.63 and 1,649.18

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Solution

The fourth proportional to 1,709.24, 2,369.63 and 1,649.18 is: 2,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.24 : 2,369.63 = 1,649.18 : x
  2. Step 2: Convert to fraction form
    1,709.24/2,369.63 = 1,649.18/x
  3. Step 3: Cross multiply
    1,709.24x = 2,369.63 × 1,649.18
  4. Step 4: Simplify right side
    1,709.24x = 3,907,946.40
  5. Step 5: Solve for x
    x = 3,907,946.40/1,709.24
  6. Step 6: Final answer
    x = 2,286.36

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.