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Finding the Fourth Proportional to 1,987.99, 2,743.68 and 1,202.07

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Solution

The fourth proportional to 1,987.99, 2,743.68 and 1,202.07 is: 1,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.99 : 2,743.68 = 1,202.07 : x
  2. Step 2: Convert to fraction form
    1,987.99/2,743.68 = 1,202.07/x
  3. Step 3: Cross multiply
    1,987.99x = 2,743.68 × 1,202.07
  4. Step 4: Simplify right side
    1,987.99x = 3,298,095.42
  5. Step 5: Solve for x
    x = 3,298,095.42/1,987.99
  6. Step 6: Final answer
    x = 1,659.01

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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.