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Finding the Fourth Proportional to 2,967.75, 4,095.54 and 1,641.47

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Solution

The fourth proportional to 2,967.75, 4,095.54 and 1,641.47 is: 2,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.75 : 4,095.54 = 1,641.47 : x
  2. Step 2: Convert to fraction form
    2,967.75/4,095.54 = 1,641.47/x
  3. Step 3: Cross multiply
    2,967.75x = 4,095.54 × 1,641.47
  4. Step 4: Simplify right side
    2,967.75x = 6,722,685.57
  5. Step 5: Solve for x
    x = 6,722,685.57/2,967.75
  6. Step 6: Final answer
    x = 2,265.25

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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.