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Finding the Fourth Proportional to 1,981.58, 2,735.91 and 1,771.08

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Solution

The fourth proportional to 1,981.58, 2,735.91 and 1,771.08 is: 2,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.58 : 2,735.91 = 1,771.08 : x
  2. Step 2: Convert to fraction form
    1,981.58/2,735.91 = 1,771.08/x
  3. Step 3: Cross multiply
    1,981.58x = 2,735.91 × 1,771.08
  4. Step 4: Simplify right side
    1,981.58x = 4,845,505.22
  5. Step 5: Solve for x
    x = 4,845,505.22/1,981.58
  6. Step 6: Final answer
    x = 2,445.28

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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.