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Finding the Fourth Proportional to 2,594.38, 3,889.74 and 1,294.93

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Solution

The fourth proportional to 2,594.38, 3,889.74 and 1,294.93 is: 1,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.38 : 3,889.74 = 1,294.93 : x
  2. Step 2: Convert to fraction form
    2,594.38/3,889.74 = 1,294.93/x
  3. Step 3: Cross multiply
    2,594.38x = 3,889.74 × 1,294.93
  4. Step 4: Simplify right side
    2,594.38x = 5,036,941.02
  5. Step 5: Solve for x
    x = 5,036,941.02/2,594.38
  6. Step 6: Final answer
    x = 1,941.48

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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.