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Finding the Fourth Proportional to 1,987.02, 2,741.76 and 1,322.73

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Solution

The fourth proportional to 1,987.02, 2,741.76 and 1,322.73 is: 1,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.02 : 2,741.76 = 1,322.73 : x
  2. Step 2: Convert to fraction form
    1,987.02/2,741.76 = 1,322.73/x
  3. Step 3: Cross multiply
    1,987.02x = 2,741.76 × 1,322.73
  4. Step 4: Simplify right side
    1,987.02x = 3,626,608.20
  5. Step 5: Solve for x
    x = 3,626,608.20/1,987.02
  6. Step 6: Final answer
    x = 1,825.15

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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.