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Finding the Fourth Proportional to 2,892.25, 4,338.38 and 700.97

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Solution

The fourth proportional to 2,892.25, 4,338.38 and 700.97 is: 1,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.25 : 4,338.38 = 700.97 : x
  2. Step 2: Convert to fraction form
    2,892.25/4,338.38 = 700.97/x
  3. Step 3: Cross multiply
    2,892.25x = 4,338.38 × 700.97
  4. Step 4: Simplify right side
    2,892.25x = 3,041,081.57
  5. Step 5: Solve for x
    x = 3,041,081.57/2,892.25
  6. Step 6: Final answer
    x = 1,051.46

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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.