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Finding the Fourth Proportional to 2,894.19, 4,340.95 and 1,228.57

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Solution

The fourth proportional to 2,894.19, 4,340.95 and 1,228.57 is: 1,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.19 : 4,340.95 = 1,228.57 : x
  2. Step 2: Convert to fraction form
    2,894.19/4,340.95 = 1,228.57/x
  3. Step 3: Cross multiply
    2,894.19x = 4,340.95 × 1,228.57
  4. Step 4: Simplify right side
    2,894.19x = 5,333,139.24
  5. Step 5: Solve for x
    x = 5,333,139.24/2,894.19
  6. Step 6: Final answer
    x = 1,842.71

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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.