Home / 1,511.39-2,266.22-471.11

Finding the Fourth Proportional to 1,511.39, 2,266.22 and 471.11

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Solution

The fourth proportional to 1,511.39, 2,266.22 and 471.11 is: 706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.39 : 2,266.22 = 471.11 : x
  2. Step 2: Convert to fraction form
    1,511.39/2,266.22 = 471.11/x
  3. Step 3: Cross multiply
    1,511.39x = 2,266.22 × 471.11
  4. Step 4: Simplify right side
    1,511.39x = 1,067,628.75
  5. Step 5: Solve for x
    x = 1,067,628.75/1,511.39
  6. Step 6: Final answer
    x = 706.39

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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.