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Finding the Fourth Proportional to 2,537.64, 3,806.49 and 894.23

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Solution

The fourth proportional to 2,537.64, 3,806.49 and 894.23 is: 1,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.64 : 3,806.49 = 894.23 : x
  2. Step 2: Convert to fraction form
    2,537.64/3,806.49 = 894.23/x
  3. Step 3: Cross multiply
    2,537.64x = 3,806.49 × 894.23
  4. Step 4: Simplify right side
    2,537.64x = 3,403,858.52
  5. Step 5: Solve for x
    x = 3,403,858.52/2,537.64
  6. Step 6: Final answer
    x = 1,341.35

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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.