Home / 2,846.08-3,927.44-1,604

Finding the Fourth Proportional to 2,846.08, 3,927.44 and 1,604

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Solution

The fourth proportional to 2,846.08, 3,927.44 and 1,604 is: 2,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.08 : 3,927.44 = 1,604 : x
  2. Step 2: Convert to fraction form
    2,846.08/3,927.44 = 1,604/x
  3. Step 3: Cross multiply
    2,846.08x = 3,927.44 × 1,604
  4. Step 4: Simplify right side
    2,846.08x = 6,299,613.76
  5. Step 5: Solve for x
    x = 6,299,613.76/2,846.08
  6. Step 6: Final answer
    x = 2,213.44

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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.