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Finding the Fourth Proportional to 2,096.36, 2,894.84 and 1,540

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Solution

The fourth proportional to 2,096.36, 2,894.84 and 1,540 is: 2,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.36 : 2,894.84 = 1,540 : x
  2. Step 2: Convert to fraction form
    2,096.36/2,894.84 = 1,540/x
  3. Step 3: Cross multiply
    2,096.36x = 2,894.84 × 1,540
  4. Step 4: Simplify right side
    2,096.36x = 4,458,053.60
  5. Step 5: Solve for x
    x = 4,458,053.60/2,096.36
  6. Step 6: Final answer
    x = 2,126.57

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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.