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Finding the Fourth Proportional to 1,636.14, 2,257.86 and 890.10

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Solution

The fourth proportional to 1,636.14, 2,257.86 and 890.10 is: 1,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.14 : 2,257.86 = 890.10 : x
  2. Step 2: Convert to fraction form
    1,636.14/2,257.86 = 890.10/x
  3. Step 3: Cross multiply
    1,636.14x = 2,257.86 × 890.10
  4. Step 4: Simplify right side
    1,636.14x = 2,009,721.19
  5. Step 5: Solve for x
    x = 2,009,721.19/1,636.14
  6. Step 6: Final answer
    x = 1,228.33

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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.