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Finding the Fourth Proportional to 2,894.19, 4,341.49 and 1,162.82

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Solution

The fourth proportional to 2,894.19, 4,341.49 and 1,162.82 is: 1,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.19 : 4,341.49 = 1,162.82 : x
  2. Step 2: Convert to fraction form
    2,894.19/4,341.49 = 1,162.82/x
  3. Step 3: Cross multiply
    2,894.19x = 4,341.49 × 1,162.82
  4. Step 4: Simplify right side
    2,894.19x = 5,048,343.88
  5. Step 5: Solve for x
    x = 5,048,343.88/2,894.19
  6. Step 6: Final answer
    x = 1,744.30

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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.