Home / 1,511.87-2,267.80-416.27

Finding the Fourth Proportional to 1,511.87, 2,267.80 and 416.27

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Solution

The fourth proportional to 1,511.87, 2,267.80 and 416.27 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.87 : 2,267.80 = 416.27 : x
  2. Step 2: Convert to fraction form
    1,511.87/2,267.80 = 416.27/x
  3. Step 3: Cross multiply
    1,511.87x = 2,267.80 × 416.27
  4. Step 4: Simplify right side
    1,511.87x = 944,021.73
  5. Step 5: Solve for x
    x = 944,021.73/1,511.87
  6. Step 6: Final answer
    x = 624.41

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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.