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Finding the Fourth Proportional to 1,636.03, 2,257.74 and 889.99

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Solution

The fourth proportional to 1,636.03, 2,257.74 and 889.99 is: 1,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.03 : 2,257.74 = 889.99 : x
  2. Step 2: Convert to fraction form
    1,636.03/2,257.74 = 889.99/x
  3. Step 3: Cross multiply
    1,636.03x = 2,257.74 × 889.99
  4. Step 4: Simplify right side
    1,636.03x = 2,009,360.38
  5. Step 5: Solve for x
    x = 2,009,360.38/1,636.03
  6. Step 6: Final answer
    x = 1,228.19

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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.