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Finding the Fourth Proportional to 2,968.22, 4,095.81 and 1,641.74

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Solution

The fourth proportional to 2,968.22, 4,095.81 and 1,641.74 is: 2,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.22 : 4,095.81 = 1,641.74 : x
  2. Step 2: Convert to fraction form
    2,968.22/4,095.81 = 1,641.74/x
  3. Step 3: Cross multiply
    2,968.22x = 4,095.81 × 1,641.74
  4. Step 4: Simplify right side
    2,968.22x = 6,724,255.11
  5. Step 5: Solve for x
    x = 6,724,255.11/2,968.22
  6. Step 6: Final answer
    x = 2,265.42

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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.