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Finding the Fourth Proportional to 1,643.76, 2,267.44 and 980.56

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Solution

The fourth proportional to 1,643.76, 2,267.44 and 980.56 is: 1,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.76 : 2,267.44 = 980.56 : x
  2. Step 2: Convert to fraction form
    1,643.76/2,267.44 = 980.56/x
  3. Step 3: Cross multiply
    1,643.76x = 2,267.44 × 980.56
  4. Step 4: Simplify right side
    1,643.76x = 2,223,360.97
  5. Step 5: Solve for x
    x = 2,223,360.97/1,643.76
  6. Step 6: Final answer
    x = 1,352.61

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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.