Home / 1,645.08-2,270.16-982.37

Finding the Fourth Proportional to 1,645.08, 2,270.16 and 982.37

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Solution

The fourth proportional to 1,645.08, 2,270.16 and 982.37 is: 1,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.08 : 2,270.16 = 982.37 : x
  2. Step 2: Convert to fraction form
    1,645.08/2,270.16 = 982.37/x
  3. Step 3: Cross multiply
    1,645.08x = 2,270.16 × 982.37
  4. Step 4: Simplify right side
    1,645.08x = 2,230,140.30
  5. Step 5: Solve for x
    x = 2,230,140.30/1,645.08
  6. Step 6: Final answer
    x = 1,355.64

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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.