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Finding the Fourth Proportional to 2,801.80, 4,206.33 and 1,980.46

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Solution

The fourth proportional to 2,801.80, 4,206.33 and 1,980.46 is: 2,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.80 : 4,206.33 = 1,980.46 : x
  2. Step 2: Convert to fraction form
    2,801.80/4,206.33 = 1,980.46/x
  3. Step 3: Cross multiply
    2,801.80x = 4,206.33 × 1,980.46
  4. Step 4: Simplify right side
    2,801.80x = 8,330,468.31
  5. Step 5: Solve for x
    x = 8,330,468.31/2,801.80
  6. Step 6: Final answer
    x = 2,973.26

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