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Finding the Fourth Proportional to 1,483.38, 2,224.89 and 933.84

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Solution

The fourth proportional to 1,483.38, 2,224.89 and 933.84 is: 1,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.38 : 2,224.89 = 933.84 : x
  2. Step 2: Convert to fraction form
    1,483.38/2,224.89 = 933.84/x
  3. Step 3: Cross multiply
    1,483.38x = 2,224.89 × 933.84
  4. Step 4: Simplify right side
    1,483.38x = 2,077,691.28
  5. Step 5: Solve for x
    x = 2,077,691.28/1,483.38
  6. Step 6: Final answer
    x = 1,400.65

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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.