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Finding the Fourth Proportional to 1,980.42, 2,971.41 and 884.01

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Solution

The fourth proportional to 1,980.42, 2,971.41 and 884.01 is: 1,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.42 : 2,971.41 = 884.01 : x
  2. Step 2: Convert to fraction form
    1,980.42/2,971.41 = 884.01/x
  3. Step 3: Cross multiply
    1,980.42x = 2,971.41 × 884.01
  4. Step 4: Simplify right side
    1,980.42x = 2,626,756.15
  5. Step 5: Solve for x
    x = 2,626,756.15/1,980.42
  6. Step 6: Final answer
    x = 1,326.36

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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.