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Finding the Fourth Proportional to 2,892.70, 4,339.00 and 701.44

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Solution

The fourth proportional to 2,892.70, 4,339.00 and 701.44 is: 1,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.70 : 4,339.00 = 701.44 : x
  2. Step 2: Convert to fraction form
    2,892.70/4,339.00 = 701.44/x
  3. Step 3: Cross multiply
    2,892.70x = 4,339.00 × 701.44
  4. Step 4: Simplify right side
    2,892.70x = 3,043,562.60
  5. Step 5: Solve for x
    x = 3,043,562.60/2,892.70
  6. Step 6: Final answer
    x = 1,052.15

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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.