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Finding the Fourth Proportional to 2,005.23, 3,007.53 and 544.05

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Solution

The fourth proportional to 2,005.23, 3,007.53 and 544.05 is: 815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.23 : 3,007.53 = 544.05 : x
  2. Step 2: Convert to fraction form
    2,005.23/3,007.53 = 544.05/x
  3. Step 3: Cross multiply
    2,005.23x = 3,007.53 × 544.05
  4. Step 4: Simplify right side
    2,005.23x = 1,636,246.70
  5. Step 5: Solve for x
    x = 1,636,246.70/2,005.23
  6. Step 6: Final answer
    x = 815.99

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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.