Home / 1,511.83-2,267.37-416.14

Finding the Fourth Proportional to 1,511.83, 2,267.37 and 416.14

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Solution

The fourth proportional to 1,511.83, 2,267.37 and 416.14 is: 624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.83 : 2,267.37 = 416.14 : x
  2. Step 2: Convert to fraction form
    1,511.83/2,267.37 = 416.14/x
  3. Step 3: Cross multiply
    1,511.83x = 2,267.37 × 416.14
  4. Step 4: Simplify right side
    1,511.83x = 943,543.35
  5. Step 5: Solve for x
    x = 943,543.35/1,511.83
  6. Step 6: Final answer
    x = 624.11

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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.