Home / 1,982.07-2,969.01-1,435.32

Finding the Fourth Proportional to 1,982.07, 2,969.01 and 1,435.32

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Solution

The fourth proportional to 1,982.07, 2,969.01 and 1,435.32 is: 2,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.07 : 2,969.01 = 1,435.32 : x
  2. Step 2: Convert to fraction form
    1,982.07/2,969.01 = 1,435.32/x
  3. Step 3: Cross multiply
    1,982.07x = 2,969.01 × 1,435.32
  4. Step 4: Simplify right side
    1,982.07x = 4,261,479.43
  5. Step 5: Solve for x
    x = 4,261,479.43/1,982.07
  6. Step 6: Final answer
    x = 2,150.01

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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.