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Finding the Fourth Proportional to 2,566.93, 3,539.17 and 2,141.75

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Solution

The fourth proportional to 2,566.93, 3,539.17 and 2,141.75 is: 2,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.93 : 3,539.17 = 2,141.75 : x
  2. Step 2: Convert to fraction form
    2,566.93/3,539.17 = 2,141.75/x
  3. Step 3: Cross multiply
    2,566.93x = 3,539.17 × 2,141.75
  4. Step 4: Simplify right side
    2,566.93x = 7,580,017.35
  5. Step 5: Solve for x
    x = 7,580,017.35/2,566.93
  6. Step 6: Final answer
    x = 2,952.95

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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.