Home / 1,503.22-2,252.40-982.12

Finding the Fourth Proportional to 1,503.22, 2,252.40 and 982.12

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Solution

The fourth proportional to 1,503.22, 2,252.40 and 982.12 is: 1,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.22 : 2,252.40 = 982.12 : x
  2. Step 2: Convert to fraction form
    1,503.22/2,252.40 = 982.12/x
  3. Step 3: Cross multiply
    1,503.22x = 2,252.40 × 982.12
  4. Step 4: Simplify right side
    1,503.22x = 2,212,127.09
  5. Step 5: Solve for x
    x = 2,212,127.09/1,503.22
  6. Step 6: Final answer
    x = 1,471.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.