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Finding the Fourth Proportional to 2,537.70, 3,808.25 and 894.24

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Solution

The fourth proportional to 2,537.70, 3,808.25 and 894.24 is: 1,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.70 : 3,808.25 = 894.24 : x
  2. Step 2: Convert to fraction form
    2,537.70/3,808.25 = 894.24/x
  3. Step 3: Cross multiply
    2,537.70x = 3,808.25 × 894.24
  4. Step 4: Simplify right side
    2,537.70x = 3,405,465.97
  5. Step 5: Solve for x
    x = 3,405,465.97/2,537.70
  6. Step 6: Final answer
    x = 1,341.95

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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.