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Finding the Fourth Proportional to 1,453.16, 2,178.12 and 965

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Solution

The fourth proportional to 1,453.16, 2,178.12 and 965 is: 1,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.16 : 2,178.12 = 965 : x
  2. Step 2: Convert to fraction form
    1,453.16/2,178.12 = 965/x
  3. Step 3: Cross multiply
    1,453.16x = 2,178.12 × 965
  4. Step 4: Simplify right side
    1,453.16x = 2,101,885.80
  5. Step 5: Solve for x
    x = 2,101,885.80/1,453.16
  6. Step 6: Final answer
    x = 1,446.42

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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.