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Finding the Fourth Proportional to 2,969.68, 4,097.64 and 1,850.26

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Solution

The fourth proportional to 2,969.68, 4,097.64 and 1,850.26 is: 2,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.68 : 4,097.64 = 1,850.26 : x
  2. Step 2: Convert to fraction form
    2,969.68/4,097.64 = 1,850.26/x
  3. Step 3: Cross multiply
    2,969.68x = 4,097.64 × 1,850.26
  4. Step 4: Simplify right side
    2,969.68x = 7,581,699.39
  5. Step 5: Solve for x
    x = 7,581,699.39/2,969.68
  6. Step 6: Final answer
    x = 2,553.04

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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.