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Finding the Fourth Proportional to 1,638.25, 2,260.76 and 892.19

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Solution

The fourth proportional to 1,638.25, 2,260.76 and 892.19 is: 1,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.25 : 2,260.76 = 892.19 : x
  2. Step 2: Convert to fraction form
    1,638.25/2,260.76 = 892.19/x
  3. Step 3: Cross multiply
    1,638.25x = 2,260.76 × 892.19
  4. Step 4: Simplify right side
    1,638.25x = 2,017,023.00
  5. Step 5: Solve for x
    x = 2,017,023.00/1,638.25
  6. Step 6: Final answer
    x = 1,231.21

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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.