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Finding the Fourth Proportional to 2,561.52, 3,847.14 and 1,594.38

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Solution

The fourth proportional to 2,561.52, 3,847.14 and 1,594.38 is: 2,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.52 : 3,847.14 = 1,594.38 : x
  2. Step 2: Convert to fraction form
    2,561.52/3,847.14 = 1,594.38/x
  3. Step 3: Cross multiply
    2,561.52x = 3,847.14 × 1,594.38
  4. Step 4: Simplify right side
    2,561.52x = 6,133,803.07
  5. Step 5: Solve for x
    x = 6,133,803.07/2,561.52
  6. Step 6: Final answer
    x = 2,394.60

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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.