Home / 2,468.09-3,702.59-824.80

Finding the Fourth Proportional to 2,468.09, 3,702.59 and 824.80

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Solution

The fourth proportional to 2,468.09, 3,702.59 and 824.80 is: 1,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.09 : 3,702.59 = 824.80 : x
  2. Step 2: Convert to fraction form
    2,468.09/3,702.59 = 824.80/x
  3. Step 3: Cross multiply
    2,468.09x = 3,702.59 × 824.80
  4. Step 4: Simplify right side
    2,468.09x = 3,053,896.23
  5. Step 5: Solve for x
    x = 3,053,896.23/2,468.09
  6. Step 6: Final answer
    x = 1,237.35

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1.5x scale

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.