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Finding the Fourth Proportional to 2,566.51, 3,851.24 and 1,085.63

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Solution

The fourth proportional to 2,566.51, 3,851.24 and 1,085.63 is: 1,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.51 : 3,851.24 = 1,085.63 : x
  2. Step 2: Convert to fraction form
    2,566.51/3,851.24 = 1,085.63/x
  3. Step 3: Cross multiply
    2,566.51x = 3,851.24 × 1,085.63
  4. Step 4: Simplify right side
    2,566.51x = 4,180,997.00
  5. Step 5: Solve for x
    x = 4,180,997.00/2,566.51
  6. Step 6: Final answer
    x = 1,629.06

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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.