Home / 1,824-2,734.56-1,094.40

Finding the Fourth Proportional to 1,824, 2,734.56 and 1,094.40

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Solution

The fourth proportional to 1,824, 2,734.56 and 1,094.40 is: 1,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824 : 2,734.56 = 1,094.40 : x
  2. Step 2: Convert to fraction form
    1,824/2,734.56 = 1,094.40/x
  3. Step 3: Cross multiply
    1,824x = 2,734.56 × 1,094.40
  4. Step 4: Simplify right side
    1,824x = 2,992,702.46
  5. Step 5: Solve for x
    x = 2,992,702.46/1,824
  6. Step 6: Final answer
    x = 1,640.74

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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.