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Finding the Fourth Proportional to 1,984.47, 2,740.55 and 1,286.25

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Solution

The fourth proportional to 1,984.47, 2,740.55 and 1,286.25 is: 1,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.47 : 2,740.55 = 1,286.25 : x
  2. Step 2: Convert to fraction form
    1,984.47/2,740.55 = 1,286.25/x
  3. Step 3: Cross multiply
    1,984.47x = 2,740.55 × 1,286.25
  4. Step 4: Simplify right side
    1,984.47x = 3,525,026.01
  5. Step 5: Solve for x
    x = 3,525,026.01/1,984.47
  6. Step 6: Final answer
    x = 1,776.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.