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Finding the Fourth Proportional to 1,581.32, 2,369.40 and 965.24

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Solution

The fourth proportional to 1,581.32, 2,369.40 and 965.24 is: 1,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.32 : 2,369.40 = 965.24 : x
  2. Step 2: Convert to fraction form
    1,581.32/2,369.40 = 965.24/x
  3. Step 3: Cross multiply
    1,581.32x = 2,369.40 × 965.24
  4. Step 4: Simplify right side
    1,581.32x = 2,287,039.66
  5. Step 5: Solve for x
    x = 2,287,039.66/1,581.32
  6. Step 6: Final answer
    x = 1,446.29

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Why These Related Problems?

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