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Finding the Fourth Proportional to 1,846.14, 2,770.04 and 980.25

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Solution

The fourth proportional to 1,846.14, 2,770.04 and 980.25 is: 1,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.14 : 2,770.04 = 980.25 : x
  2. Step 2: Convert to fraction form
    1,846.14/2,770.04 = 980.25/x
  3. Step 3: Cross multiply
    1,846.14x = 2,770.04 × 980.25
  4. Step 4: Simplify right side
    1,846.14x = 2,715,326.81
  5. Step 5: Solve for x
    x = 2,715,326.81/1,846.14
  6. Step 6: Final answer
    x = 1,470.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.