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Finding the Fourth Proportional to 1,483.20, 2,046.79 and 894.06

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Solution

The fourth proportional to 1,483.20, 2,046.79 and 894.06 is: 1,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.20 : 2,046.79 = 894.06 : x
  2. Step 2: Convert to fraction form
    1,483.20/2,046.79 = 894.06/x
  3. Step 3: Cross multiply
    1,483.20x = 2,046.79 × 894.06
  4. Step 4: Simplify right side
    1,483.20x = 1,829,938.36
  5. Step 5: Solve for x
    x = 1,829,938.36/1,483.20
  6. Step 6: Final answer
    x = 1,233.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.