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Finding the Fourth Proportional to 2,476.67, 3,712.38 and 894.33

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Solution

The fourth proportional to 2,476.67, 3,712.38 and 894.33 is: 1,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.67 : 3,712.38 = 894.33 : x
  2. Step 2: Convert to fraction form
    2,476.67/3,712.38 = 894.33/x
  3. Step 3: Cross multiply
    2,476.67x = 3,712.38 × 894.33
  4. Step 4: Simplify right side
    2,476.67x = 3,320,089.45
  5. Step 5: Solve for x
    x = 3,320,089.45/2,476.67
  6. Step 6: Final answer
    x = 1,340.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.