Home / 1,645.23-2,270.32-982.08

Finding the Fourth Proportional to 1,645.23, 2,270.32 and 982.08

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Solution

The fourth proportional to 1,645.23, 2,270.32 and 982.08 is: 1,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.23 : 2,270.32 = 982.08 : x
  2. Step 2: Convert to fraction form
    1,645.23/2,270.32 = 982.08/x
  3. Step 3: Cross multiply
    1,645.23x = 2,270.32 × 982.08
  4. Step 4: Simplify right side
    1,645.23x = 2,229,635.87
  5. Step 5: Solve for x
    x = 2,229,635.87/1,645.23
  6. Step 6: Final answer
    x = 1,355.21

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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.