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Finding the Fourth Proportional to 1,980.10, 2,970.33 and 681.58

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Solution

The fourth proportional to 1,980.10, 2,970.33 and 681.58 is: 1,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.10 : 2,970.33 = 681.58 : x
  2. Step 2: Convert to fraction form
    1,980.10/2,970.33 = 681.58/x
  3. Step 3: Cross multiply
    1,980.10x = 2,970.33 × 681.58
  4. Step 4: Simplify right side
    1,980.10x = 2,024,517.52
  5. Step 5: Solve for x
    x = 2,024,517.52/1,980.10
  6. Step 6: Final answer
    x = 1,022.43

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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.