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Finding the Fourth Proportional to 2,297.54, 3,444.08 and 910.42

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Solution

The fourth proportional to 2,297.54, 3,444.08 and 910.42 is: 1,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.54 : 3,444.08 = 910.42 : x
  2. Step 2: Convert to fraction form
    2,297.54/3,444.08 = 910.42/x
  3. Step 3: Cross multiply
    2,297.54x = 3,444.08 × 910.42
  4. Step 4: Simplify right side
    2,297.54x = 3,135,559.31
  5. Step 5: Solve for x
    x = 3,135,559.31/2,297.54
  6. Step 6: Final answer
    x = 1,364.75

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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.