Home / 1,982.03-2,984.64-1,465.67

Finding the Fourth Proportional to 1,982.03, 2,984.64 and 1,465.67

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Solution

The fourth proportional to 1,982.03, 2,984.64 and 1,465.67 is: 2,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.03 : 2,984.64 = 1,465.67 : x
  2. Step 2: Convert to fraction form
    1,982.03/2,984.64 = 1,465.67/x
  3. Step 3: Cross multiply
    1,982.03x = 2,984.64 × 1,465.67
  4. Step 4: Simplify right side
    1,982.03x = 4,374,504.14
  5. Step 5: Solve for x
    x = 4,374,504.14/1,982.03
  6. Step 6: Final answer
    x = 2,207.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.