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Finding the Fourth Proportional to 2,892.81, 4,339.23 and 701.54

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Solution

The fourth proportional to 2,892.81, 4,339.23 and 701.54 is: 1,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.81 : 4,339.23 = 701.54 : x
  2. Step 2: Convert to fraction form
    2,892.81/4,339.23 = 701.54/x
  3. Step 3: Cross multiply
    2,892.81x = 4,339.23 × 701.54
  4. Step 4: Simplify right side
    2,892.81x = 3,044,143.41
  5. Step 5: Solve for x
    x = 3,044,143.41/2,892.81
  6. Step 6: Final answer
    x = 1,052.31

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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.