Home / 1,926.54-2,889.83-465.70

Finding the Fourth Proportional to 1,926.54, 2,889.83 and 465.70

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Solution

The fourth proportional to 1,926.54, 2,889.83 and 465.70 is: 698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.54 : 2,889.83 = 465.70 : x
  2. Step 2: Convert to fraction form
    1,926.54/2,889.83 = 465.70/x
  3. Step 3: Cross multiply
    1,926.54x = 2,889.83 × 465.70
  4. Step 4: Simplify right side
    1,926.54x = 1,345,793.83
  5. Step 5: Solve for x
    x = 1,345,793.83/1,926.54
  6. Step 6: Final answer
    x = 698.55

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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.