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Finding the Fourth Proportional to 1,980.76, 2,968.44 and 1,102

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Solution

The fourth proportional to 1,980.76, 2,968.44 and 1,102 is: 1,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.76 : 2,968.44 = 1,102 : x
  2. Step 2: Convert to fraction form
    1,980.76/2,968.44 = 1,102/x
  3. Step 3: Cross multiply
    1,980.76x = 2,968.44 × 1,102
  4. Step 4: Simplify right side
    1,980.76x = 3,271,220.88
  5. Step 5: Solve for x
    x = 3,271,220.88/1,980.76
  6. Step 6: Final answer
    x = 1,651.50

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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.