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Finding the Fourth Proportional to 1,458.24, 2,185.32 and 1,064.24

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Solution

The fourth proportional to 1,458.24, 2,185.32 and 1,064.24 is: 1,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.24 : 2,185.32 = 1,064.24 : x
  2. Step 2: Convert to fraction form
    1,458.24/2,185.32 = 1,064.24/x
  3. Step 3: Cross multiply
    1,458.24x = 2,185.32 × 1,064.24
  4. Step 4: Simplify right side
    1,458.24x = 2,325,704.96
  5. Step 5: Solve for x
    x = 2,325,704.96/1,458.24
  6. Step 6: Final answer
    x = 1,594.87

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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.