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Finding the Fourth Proportional to 2,483.55, 3,723.98 and 923.49

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Solution

The fourth proportional to 2,483.55, 3,723.98 and 923.49 is: 1,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.55 : 3,723.98 = 923.49 : x
  2. Step 2: Convert to fraction form
    2,483.55/3,723.98 = 923.49/x
  3. Step 3: Cross multiply
    2,483.55x = 3,723.98 × 923.49
  4. Step 4: Simplify right side
    2,483.55x = 3,439,053.67
  5. Step 5: Solve for x
    x = 3,439,053.67/2,483.55
  6. Step 6: Final answer
    x = 1,384.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.