Home / 2,206-3,045.63-1,421.44

Finding the Fourth Proportional to 2,206, 3,045.63 and 1,421.44

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Solution

The fourth proportional to 2,206, 3,045.63 and 1,421.44 is: 1,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206 : 3,045.63 = 1,421.44 : x
  2. Step 2: Convert to fraction form
    2,206/3,045.63 = 1,421.44/x
  3. Step 3: Cross multiply
    2,206x = 3,045.63 × 1,421.44
  4. Step 4: Simplify right side
    2,206x = 4,329,180.31
  5. Step 5: Solve for x
    x = 4,329,180.31/2,206
  6. Step 6: Final answer
    x = 1,962.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.