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Finding the Fourth Proportional to 1,429.99, 2,145.32 and 845.48

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Solution

The fourth proportional to 1,429.99, 2,145.32 and 845.48 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.99 : 2,145.32 = 845.48 : x
  2. Step 2: Convert to fraction form
    1,429.99/2,145.32 = 845.48/x
  3. Step 3: Cross multiply
    1,429.99x = 2,145.32 × 845.48
  4. Step 4: Simplify right side
    1,429.99x = 1,813,825.15
  5. Step 5: Solve for x
    x = 1,813,825.15/1,429.99
  6. Step 6: Final answer
    x = 1,268.42

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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.