Home / 1,511.14-2,266.26-586.84

Finding the Fourth Proportional to 1,511.14, 2,266.26 and 586.84

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Solution

The fourth proportional to 1,511.14, 2,266.26 and 586.84 is: 880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.14 : 2,266.26 = 586.84 : x
  2. Step 2: Convert to fraction form
    1,511.14/2,266.26 = 586.84/x
  3. Step 3: Cross multiply
    1,511.14x = 2,266.26 × 586.84
  4. Step 4: Simplify right side
    1,511.14x = 1,329,932.02
  5. Step 5: Solve for x
    x = 1,329,932.02/1,511.14
  6. Step 6: Final answer
    x = 880.09

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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.