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Finding the Fourth Proportional to 2,969.96, 4,098.49 and 1,643.63

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Solution

The fourth proportional to 2,969.96, 4,098.49 and 1,643.63 is: 2,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.96 : 4,098.49 = 1,643.63 : x
  2. Step 2: Convert to fraction form
    2,969.96/4,098.49 = 1,643.63/x
  3. Step 3: Cross multiply
    2,969.96x = 4,098.49 × 1,643.63
  4. Step 4: Simplify right side
    2,969.96x = 6,736,401.12
  5. Step 5: Solve for x
    x = 6,736,401.12/2,969.96
  6. Step 6: Final answer
    x = 2,268.18

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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.