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Finding the Fourth Proportional to 1,987.74, 2,741.85 and 1,202.04

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Solution

The fourth proportional to 1,987.74, 2,741.85 and 1,202.04 is: 1,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.74 : 2,741.85 = 1,202.04 : x
  2. Step 2: Convert to fraction form
    1,987.74/2,741.85 = 1,202.04/x
  3. Step 3: Cross multiply
    1,987.74x = 2,741.85 × 1,202.04
  4. Step 4: Simplify right side
    1,987.74x = 3,295,813.37
  5. Step 5: Solve for x
    x = 3,295,813.37/1,987.74
  6. Step 6: Final answer
    x = 1,658.07

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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.