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Finding the Fourth Proportional to 2,929.15, 4,394.38 and 849.24

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Solution

The fourth proportional to 2,929.15, 4,394.38 and 849.24 is: 1,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.15 : 4,394.38 = 849.24 : x
  2. Step 2: Convert to fraction form
    2,929.15/4,394.38 = 849.24/x
  3. Step 3: Cross multiply
    2,929.15x = 4,394.38 × 849.24
  4. Step 4: Simplify right side
    2,929.15x = 3,731,880.35
  5. Step 5: Solve for x
    x = 3,731,880.35/2,929.15
  6. Step 6: Final answer
    x = 1,274.05

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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.