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Finding the Fourth Proportional to 2,897.06, 4,346.22 and 949.19

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Solution

The fourth proportional to 2,897.06, 4,346.22 and 949.19 is: 1,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.06 : 4,346.22 = 949.19 : x
  2. Step 2: Convert to fraction form
    2,897.06/4,346.22 = 949.19/x
  3. Step 3: Cross multiply
    2,897.06x = 4,346.22 × 949.19
  4. Step 4: Simplify right side
    2,897.06x = 4,125,388.56
  5. Step 5: Solve for x
    x = 4,125,388.56/2,897.06
  6. Step 6: Final answer
    x = 1,423.99

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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.