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Finding the Fourth Proportional to 1,992.49, 2,985.62 and 1,260.52

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Solution

The fourth proportional to 1,992.49, 2,985.62 and 1,260.52 is: 1,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.49 : 2,985.62 = 1,260.52 : x
  2. Step 2: Convert to fraction form
    1,992.49/2,985.62 = 1,260.52/x
  3. Step 3: Cross multiply
    1,992.49x = 2,985.62 × 1,260.52
  4. Step 4: Simplify right side
    1,992.49x = 3,763,427.42
  5. Step 5: Solve for x
    x = 3,763,427.42/1,992.49
  6. Step 6: Final answer
    x = 1,888.81

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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.