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Finding the Fourth Proportional to 1,992.37, 2,987.46 and 1,528.99

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Solution

The fourth proportional to 1,992.37, 2,987.46 and 1,528.99 is: 2,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.37 : 2,987.46 = 1,528.99 : x
  2. Step 2: Convert to fraction form
    1,992.37/2,987.46 = 1,528.99/x
  3. Step 3: Cross multiply
    1,992.37x = 2,987.46 × 1,528.99
  4. Step 4: Simplify right side
    1,992.37x = 4,567,796.47
  5. Step 5: Solve for x
    x = 4,567,796.47/1,992.37
  6. Step 6: Final answer
    x = 2,292.64

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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.