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Finding the Fourth Proportional to 1,823.70, 2,736 and 525.27

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Solution

The fourth proportional to 1,823.70, 2,736 and 525.27 is: 788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.70 : 2,736 = 525.27 : x
  2. Step 2: Convert to fraction form
    1,823.70/2,736 = 525.27/x
  3. Step 3: Cross multiply
    1,823.70x = 2,736 × 525.27
  4. Step 4: Simplify right side
    1,823.70x = 1,437,138.72
  5. Step 5: Solve for x
    x = 1,437,138.72/1,823.70
  6. Step 6: Final answer
    x = 788.03

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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.