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Finding the Fourth Proportional to 1,313.53, 1,970.30 and 1,233.34

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Solution

The fourth proportional to 1,313.53, 1,970.30 and 1,233.34 is: 1,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.53 : 1,970.30 = 1,233.34 : x
  2. Step 2: Convert to fraction form
    1,313.53/1,970.30 = 1,233.34/x
  3. Step 3: Cross multiply
    1,313.53x = 1,970.30 × 1,233.34
  4. Step 4: Simplify right side
    1,313.53x = 2,430,049.80
  5. Step 5: Solve for x
    x = 2,430,049.80/1,313.53
  6. Step 6: Final answer
    x = 1,850.01

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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.