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Finding the Fourth Proportional to 1,944.32, 2,916.44 and 483.46

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Solution

The fourth proportional to 1,944.32, 2,916.44 and 483.46 is: 725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.32 : 2,916.44 = 483.46 : x
  2. Step 2: Convert to fraction form
    1,944.32/2,916.44 = 483.46/x
  3. Step 3: Cross multiply
    1,944.32x = 2,916.44 × 483.46
  4. Step 4: Simplify right side
    1,944.32x = 1,409,982.08
  5. Step 5: Solve for x
    x = 1,409,982.08/1,944.32
  6. Step 6: Final answer
    x = 725.18

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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.