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Finding the Fourth Proportional to 2,927.10, 4,389.99 and 847.08

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Solution

The fourth proportional to 2,927.10, 4,389.99 and 847.08 is: 1,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.10 : 4,389.99 = 847.08 : x
  2. Step 2: Convert to fraction form
    2,927.10/4,389.99 = 847.08/x
  3. Step 3: Cross multiply
    2,927.10x = 4,389.99 × 847.08
  4. Step 4: Simplify right side
    2,927.10x = 3,718,672.73
  5. Step 5: Solve for x
    x = 3,718,672.73/2,927.10
  6. Step 6: Final answer
    x = 1,270.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.