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Finding the Fourth Proportional to 2,483.86, 3,726.02 and 923.80

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Solution

The fourth proportional to 2,483.86, 3,726.02 and 923.80 is: 1,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.86 : 3,726.02 = 923.80 : x
  2. Step 2: Convert to fraction form
    2,483.86/3,726.02 = 923.80/x
  3. Step 3: Cross multiply
    2,483.86x = 3,726.02 × 923.80
  4. Step 4: Simplify right side
    2,483.86x = 3,442,097.28
  5. Step 5: Solve for x
    x = 3,442,097.28/2,483.86
  6. Step 6: Final answer
    x = 1,385.79

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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.