Home / 2,784.49-3,841.48-1,664.80

Finding the Fourth Proportional to 2,784.49, 3,841.48 and 1,664.80

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Solution

The fourth proportional to 2,784.49, 3,841.48 and 1,664.80 is: 2,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.49 : 3,841.48 = 1,664.80 : x
  2. Step 2: Convert to fraction form
    2,784.49/3,841.48 = 1,664.80/x
  3. Step 3: Cross multiply
    2,784.49x = 3,841.48 × 1,664.80
  4. Step 4: Simplify right side
    2,784.49x = 6,395,295.90
  5. Step 5: Solve for x
    x = 6,395,295.90/2,784.49
  6. Step 6: Final answer
    x = 2,296.76

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1.5x scale

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.