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Finding the Fourth Proportional to 2,646.03, 3,969.35 and 1,085.97

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Solution

The fourth proportional to 2,646.03, 3,969.35 and 1,085.97 is: 1,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.03 : 3,969.35 = 1,085.97 : x
  2. Step 2: Convert to fraction form
    2,646.03/3,969.35 = 1,085.97/x
  3. Step 3: Cross multiply
    2,646.03x = 3,969.35 × 1,085.97
  4. Step 4: Simplify right side
    2,646.03x = 4,310,595.02
  5. Step 5: Solve for x
    x = 4,310,595.02/2,646.03
  6. Step 6: Final answer
    x = 1,629.08

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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.