Home / 2,284.90-3,423.76-1,766.17

Finding the Fourth Proportional to 2,284.90, 3,423.76 and 1,766.17

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Solution

The fourth proportional to 2,284.90, 3,423.76 and 1,766.17 is: 2,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.90 : 3,423.76 = 1,766.17 : x
  2. Step 2: Convert to fraction form
    2,284.90/3,423.76 = 1,766.17/x
  3. Step 3: Cross multiply
    2,284.90x = 3,423.76 × 1,766.17
  4. Step 4: Simplify right side
    2,284.90x = 6,046,961.63
  5. Step 5: Solve for x
    x = 6,046,961.63/2,284.90
  6. Step 6: Final answer
    x = 2,646.48

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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.