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Finding the Fourth Proportional to 2,892.81, 4,339.24 and 701.56

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Solution

The fourth proportional to 2,892.81, 4,339.24 and 701.56 is: 1,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.81 : 4,339.24 = 701.56 : x
  2. Step 2: Convert to fraction form
    2,892.81/4,339.24 = 701.56/x
  3. Step 3: Cross multiply
    2,892.81x = 4,339.24 × 701.56
  4. Step 4: Simplify right side
    2,892.81x = 3,044,240.88
  5. Step 5: Solve for x
    x = 3,044,240.88/2,892.81
  6. Step 6: Final answer
    x = 1,052.35

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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.