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Finding the Fourth Proportional to 2,892.56, 4,338.77 and 701.28

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Solution

The fourth proportional to 2,892.56, 4,338.77 and 701.28 is: 1,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.56 : 4,338.77 = 701.28 : x
  2. Step 2: Convert to fraction form
    2,892.56/4,338.77 = 701.28/x
  3. Step 3: Cross multiply
    2,892.56x = 4,338.77 × 701.28
  4. Step 4: Simplify right side
    2,892.56x = 3,042,689.12
  5. Step 5: Solve for x
    x = 3,042,689.12/2,892.56
  6. Step 6: Final answer
    x = 1,051.90

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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.