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Finding the Fourth Proportional to 1,643.46, 2,267.99 and 980.34

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Solution

The fourth proportional to 1,643.46, 2,267.99 and 980.34 is: 1,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.46 : 2,267.99 = 980.34 : x
  2. Step 2: Convert to fraction form
    1,643.46/2,267.99 = 980.34/x
  3. Step 3: Cross multiply
    1,643.46x = 2,267.99 × 980.34
  4. Step 4: Simplify right side
    1,643.46x = 2,223,401.32
  5. Step 5: Solve for x
    x = 2,223,401.32/1,643.46
  6. Step 6: Final answer
    x = 1,352.88

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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.