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Finding the Fourth Proportional to 1,503.27, 2,074.46 and 943.34

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Solution

The fourth proportional to 1,503.27, 2,074.46 and 943.34 is: 1,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.27 : 2,074.46 = 943.34 : x
  2. Step 2: Convert to fraction form
    1,503.27/2,074.46 = 943.34/x
  3. Step 3: Cross multiply
    1,503.27x = 2,074.46 × 943.34
  4. Step 4: Simplify right side
    1,503.27x = 1,956,906.01
  5. Step 5: Solve for x
    x = 1,956,906.01/1,503.27
  6. Step 6: Final answer
    x = 1,301.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.