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Finding the Fourth Proportional to 1,283.24, 1,917.83 and 937.30

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Solution

The fourth proportional to 1,283.24, 1,917.83 and 937.30 is: 1,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.24 : 1,917.83 = 937.30 : x
  2. Step 2: Convert to fraction form
    1,283.24/1,917.83 = 937.30/x
  3. Step 3: Cross multiply
    1,283.24x = 1,917.83 × 937.30
  4. Step 4: Simplify right side
    1,283.24x = 1,797,582.06
  5. Step 5: Solve for x
    x = 1,797,582.06/1,283.24
  6. Step 6: Final answer
    x = 1,400.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.