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Finding the Fourth Proportional to 3,602.97, 4,971.62 and 2,090.49

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Solution

The fourth proportional to 3,602.97, 4,971.62 and 2,090.49 is: 2,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.97 : 4,971.62 = 2,090.49 : x
  2. Step 2: Convert to fraction form
    3,602.97/4,971.62 = 2,090.49/x
  3. Step 3: Cross multiply
    3,602.97x = 4,971.62 × 2,090.49
  4. Step 4: Simplify right side
    3,602.97x = 10,393,111.44
  5. Step 5: Solve for x
    x = 10,393,111.44/3,602.97
  6. Step 6: Final answer
    x = 2,884.60

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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.