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Finding the Fourth Proportional to 2,395.21, 3,303.99 and 1,649.13

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Solution

The fourth proportional to 2,395.21, 3,303.99 and 1,649.13 is: 2,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.21 : 3,303.99 = 1,649.13 : x
  2. Step 2: Convert to fraction form
    2,395.21/3,303.99 = 1,649.13/x
  3. Step 3: Cross multiply
    2,395.21x = 3,303.99 × 1,649.13
  4. Step 4: Simplify right side
    2,395.21x = 5,448,709.03
  5. Step 5: Solve for x
    x = 5,448,709.03/2,395.21
  6. Step 6: Final answer
    x = 2,274.84

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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.