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Finding the Fourth Proportional to 2,968.04, 4,097.76 and 1,906.24

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Solution

The fourth proportional to 2,968.04, 4,097.76 and 1,906.24 is: 2,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.04 : 4,097.76 = 1,906.24 : x
  2. Step 2: Convert to fraction form
    2,968.04/4,097.76 = 1,906.24/x
  3. Step 3: Cross multiply
    2,968.04x = 4,097.76 × 1,906.24
  4. Step 4: Simplify right side
    2,968.04x = 7,811,305.99
  5. Step 5: Solve for x
    x = 7,811,305.99/2,968.04
  6. Step 6: Final answer
    x = 2,631.80

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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.