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Finding the Fourth Proportional to 2,537.68, 3,807.16 and 894.39

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Solution

The fourth proportional to 2,537.68, 3,807.16 and 894.39 is: 1,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.68 : 3,807.16 = 894.39 : x
  2. Step 2: Convert to fraction form
    2,537.68/3,807.16 = 894.39/x
  3. Step 3: Cross multiply
    2,537.68x = 3,807.16 × 894.39
  4. Step 4: Simplify right side
    2,537.68x = 3,405,085.83
  5. Step 5: Solve for x
    x = 3,405,085.83/2,537.68
  6. Step 6: Final answer
    x = 1,341.81

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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.