Home / 2,002.12-2,762.44-1,364.24

Finding the Fourth Proportional to 2,002.12, 2,762.44 and 1,364.24

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Solution

The fourth proportional to 2,002.12, 2,762.44 and 1,364.24 is: 1,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.12 : 2,762.44 = 1,364.24 : x
  2. Step 2: Convert to fraction form
    2,002.12/2,762.44 = 1,364.24/x
  3. Step 3: Cross multiply
    2,002.12x = 2,762.44 × 1,364.24
  4. Step 4: Simplify right side
    2,002.12x = 3,768,634.64
  5. Step 5: Solve for x
    x = 3,768,634.64/2,002.12
  6. Step 6: Final answer
    x = 1,882.32

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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.