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Finding the Fourth Proportional to 2,892.76, 4,339.10 and 701.48

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Solution

The fourth proportional to 2,892.76, 4,339.10 and 701.48 is: 1,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.76 : 4,339.10 = 701.48 : x
  2. Step 2: Convert to fraction form
    2,892.76/4,339.10 = 701.48/x
  3. Step 3: Cross multiply
    2,892.76x = 4,339.10 × 701.48
  4. Step 4: Simplify right side
    2,892.76x = 3,043,780.06
  5. Step 5: Solve for x
    x = 3,043,780.06/2,892.76
  6. Step 6: Final answer
    x = 1,052.21

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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.