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Finding the Fourth Proportional to 1,509.24, 2,268.14 and 893.24

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Solution

The fourth proportional to 1,509.24, 2,268.14 and 893.24 is: 1,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.24 : 2,268.14 = 893.24 : x
  2. Step 2: Convert to fraction form
    1,509.24/2,268.14 = 893.24/x
  3. Step 3: Cross multiply
    1,509.24x = 2,268.14 × 893.24
  4. Step 4: Simplify right side
    1,509.24x = 2,025,993.37
  5. Step 5: Solve for x
    x = 2,025,993.37/1,509.24
  6. Step 6: Final answer
    x = 1,342.39

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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.