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Finding the Fourth Proportional to 1,430.20, 1,974 and 931.97

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Solution

The fourth proportional to 1,430.20, 1,974 and 931.97 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.20 : 1,974 = 931.97 : x
  2. Step 2: Convert to fraction form
    1,430.20/1,974 = 931.97/x
  3. Step 3: Cross multiply
    1,430.20x = 1,974 × 931.97
  4. Step 4: Simplify right side
    1,430.20x = 1,839,708.78
  5. Step 5: Solve for x
    x = 1,839,708.78/1,430.20
  6. Step 6: Final answer
    x = 1,286.33

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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.