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Finding the Fourth Proportional to 1,589.44, 2,384.64 and 895.36

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Solution

The fourth proportional to 1,589.44, 2,384.64 and 895.36 is: 1,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.44 : 2,384.64 = 895.36 : x
  2. Step 2: Convert to fraction form
    1,589.44/2,384.64 = 895.36/x
  3. Step 3: Cross multiply
    1,589.44x = 2,384.64 × 895.36
  4. Step 4: Simplify right side
    1,589.44x = 2,135,111.27
  5. Step 5: Solve for x
    x = 2,135,111.27/1,589.44
  6. Step 6: Final answer
    x = 1,343.31

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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.