Home / 2,969.48-4,097.89-1,643.28

Finding the Fourth Proportional to 2,969.48, 4,097.89 and 1,643.28

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Solution

The fourth proportional to 2,969.48, 4,097.89 and 1,643.28 is: 2,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.48 : 4,097.89 = 1,643.28 : x
  2. Step 2: Convert to fraction form
    2,969.48/4,097.89 = 1,643.28/x
  3. Step 3: Cross multiply
    2,969.48x = 4,097.89 × 1,643.28
  4. Step 4: Simplify right side
    2,969.48x = 6,733,980.68
  5. Step 5: Solve for x
    x = 6,733,980.68/2,969.48
  6. Step 6: Final answer
    x = 2,267.73

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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.