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Finding the Fourth Proportional to 2,894.87, 4,341.56 and 1,139.94

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Solution

The fourth proportional to 2,894.87, 4,341.56 and 1,139.94 is: 1,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.87 : 4,341.56 = 1,139.94 : x
  2. Step 2: Convert to fraction form
    2,894.87/4,341.56 = 1,139.94/x
  3. Step 3: Cross multiply
    2,894.87x = 4,341.56 × 1,139.94
  4. Step 4: Simplify right side
    2,894.87x = 4,949,112.21
  5. Step 5: Solve for x
    x = 4,949,112.21/2,894.87
  6. Step 6: Final answer
    x = 1,709.61

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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.