Home / 1,623.54-2,429.85-974.73

Finding the Fourth Proportional to 1,623.54, 2,429.85 and 974.73

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Solution

The fourth proportional to 1,623.54, 2,429.85 and 974.73 is: 1,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.54 : 2,429.85 = 974.73 : x
  2. Step 2: Convert to fraction form
    1,623.54/2,429.85 = 974.73/x
  3. Step 3: Cross multiply
    1,623.54x = 2,429.85 × 974.73
  4. Step 4: Simplify right side
    1,623.54x = 2,368,454.97
  5. Step 5: Solve for x
    x = 2,368,454.97/1,623.54
  6. Step 6: Final answer
    x = 1,458.82

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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.