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Finding the Fourth Proportional to 2,967.49, 4,095.12 and 1,641.12

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Solution

The fourth proportional to 2,967.49, 4,095.12 and 1,641.12 is: 2,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.49 : 4,095.12 = 1,641.12 : x
  2. Step 2: Convert to fraction form
    2,967.49/4,095.12 = 1,641.12/x
  3. Step 3: Cross multiply
    2,967.49x = 4,095.12 × 1,641.12
  4. Step 4: Simplify right side
    2,967.49x = 6,720,583.33
  5. Step 5: Solve for x
    x = 6,720,583.33/2,967.49
  6. Step 6: Final answer
    x = 2,264.74

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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.