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Finding the Fourth Proportional to 1,980.40, 2,969.52 and 1,057

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Solution

The fourth proportional to 1,980.40, 2,969.52 and 1,057 is: 1,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.40 : 2,969.52 = 1,057 : x
  2. Step 2: Convert to fraction form
    1,980.40/2,969.52 = 1,057/x
  3. Step 3: Cross multiply
    1,980.40x = 2,969.52 × 1,057
  4. Step 4: Simplify right side
    1,980.40x = 3,138,782.64
  5. Step 5: Solve for x
    x = 3,138,782.64/1,980.40
  6. Step 6: Final answer
    x = 1,584.92

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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.