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Finding the Fourth Proportional to 2,566.51, 3,832.45 and 2,539.38

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Solution

The fourth proportional to 2,566.51, 3,832.45 and 2,539.38 is: 3,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.51 : 3,832.45 = 2,539.38 : x
  2. Step 2: Convert to fraction form
    2,566.51/3,832.45 = 2,539.38/x
  3. Step 3: Cross multiply
    2,566.51x = 3,832.45 × 2,539.38
  4. Step 4: Simplify right side
    2,566.51x = 9,732,017.21
  5. Step 5: Solve for x
    x = 9,732,017.21/2,566.51
  6. Step 6: Final answer
    x = 3,791.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.