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Finding the Fourth Proportional to 2,483.07, 3,724.88 and 923.55

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Solution

The fourth proportional to 2,483.07, 3,724.88 and 923.55 is: 1,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.07 : 3,724.88 = 923.55 : x
  2. Step 2: Convert to fraction form
    2,483.07/3,724.88 = 923.55/x
  3. Step 3: Cross multiply
    2,483.07x = 3,724.88 × 923.55
  4. Step 4: Simplify right side
    2,483.07x = 3,440,108.31
  5. Step 5: Solve for x
    x = 3,440,108.31/2,483.07
  6. Step 6: Final answer
    x = 1,385.43

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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.