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Finding the Fourth Proportional to 2,887.09, 3,984.06 and 1,769.92

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Solution

The fourth proportional to 2,887.09, 3,984.06 and 1,769.92 is: 2,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.09 : 3,984.06 = 1,769.92 : x
  2. Step 2: Convert to fraction form
    2,887.09/3,984.06 = 1,769.92/x
  3. Step 3: Cross multiply
    2,887.09x = 3,984.06 × 1,769.92
  4. Step 4: Simplify right side
    2,887.09x = 7,051,467.48
  5. Step 5: Solve for x
    x = 7,051,467.48/2,887.09
  6. Step 6: Final answer
    x = 2,442.41

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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.