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Finding the Fourth Proportional to 2,242.08, 3,361.44 and 1,509.60

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Solution

The fourth proportional to 2,242.08, 3,361.44 and 1,509.60 is: 2,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.08 : 3,361.44 = 1,509.60 : x
  2. Step 2: Convert to fraction form
    2,242.08/3,361.44 = 1,509.60/x
  3. Step 3: Cross multiply
    2,242.08x = 3,361.44 × 1,509.60
  4. Step 4: Simplify right side
    2,242.08x = 5,074,429.82
  5. Step 5: Solve for x
    x = 5,074,429.82/2,242.08
  6. Step 6: Final answer
    x = 2,263.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.