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Finding the Fourth Proportional to 2,535.48, 3,804.60 and 1,923

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Solution

The fourth proportional to 2,535.48, 3,804.60 and 1,923 is: 2,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.48 : 3,804.60 = 1,923 : x
  2. Step 2: Convert to fraction form
    2,535.48/3,804.60 = 1,923/x
  3. Step 3: Cross multiply
    2,535.48x = 3,804.60 × 1,923
  4. Step 4: Simplify right side
    2,535.48x = 7,316,245.80
  5. Step 5: Solve for x
    x = 7,316,245.80/2,535.48
  6. Step 6: Final answer
    x = 2,885.55

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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.