Home / 2,969.46-4,097.74-1,643.14

Finding the Fourth Proportional to 2,969.46, 4,097.74 and 1,643.14

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Solution

The fourth proportional to 2,969.46, 4,097.74 and 1,643.14 is: 2,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.46 : 4,097.74 = 1,643.14 : x
  2. Step 2: Convert to fraction form
    2,969.46/4,097.74 = 1,643.14/x
  3. Step 3: Cross multiply
    2,969.46x = 4,097.74 × 1,643.14
  4. Step 4: Simplify right side
    2,969.46x = 6,733,141.55
  5. Step 5: Solve for x
    x = 6,733,141.55/2,969.46
  6. Step 6: Final answer
    x = 2,267.46

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1.5x scale

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.