Home / 2,969.60-4,097.87-1,643.22

Finding the Fourth Proportional to 2,969.60, 4,097.87 and 1,643.22

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Solution

The fourth proportional to 2,969.60, 4,097.87 and 1,643.22 is: 2,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.60 : 4,097.87 = 1,643.22 : x
  2. Step 2: Convert to fraction form
    2,969.60/4,097.87 = 1,643.22/x
  3. Step 3: Cross multiply
    2,969.60x = 4,097.87 × 1,643.22
  4. Step 4: Simplify right side
    2,969.60x = 6,733,693.73
  5. Step 5: Solve for x
    x = 6,733,693.73/2,969.60
  6. Step 6: Final answer
    x = 2,267.55

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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.