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Finding the Fourth Proportional to 2,483.84, 3,724.74 and 923.94

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Solution

The fourth proportional to 2,483.84, 3,724.74 and 923.94 is: 1,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.84 : 3,724.74 = 923.94 : x
  2. Step 2: Convert to fraction form
    2,483.84/3,724.74 = 923.94/x
  3. Step 3: Cross multiply
    2,483.84x = 3,724.74 × 923.94
  4. Step 4: Simplify right side
    2,483.84x = 3,441,436.28
  5. Step 5: Solve for x
    x = 3,441,436.28/2,483.84
  6. Step 6: Final answer
    x = 1,385.53

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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.