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Finding the Fourth Proportional to 2,867.16, 4,301.43 and 892.74

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Solution

The fourth proportional to 2,867.16, 4,301.43 and 892.74 is: 1,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.16 : 4,301.43 = 892.74 : x
  2. Step 2: Convert to fraction form
    2,867.16/4,301.43 = 892.74/x
  3. Step 3: Cross multiply
    2,867.16x = 4,301.43 × 892.74
  4. Step 4: Simplify right side
    2,867.16x = 3,840,058.62
  5. Step 5: Solve for x
    x = 3,840,058.62/2,867.16
  6. Step 6: Final answer
    x = 1,339.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.