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Finding the Fourth Proportional to 1,823.77, 2,735.67 and 525.23

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Solution

The fourth proportional to 1,823.77, 2,735.67 and 525.23 is: 787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.77 : 2,735.67 = 525.23 : x
  2. Step 2: Convert to fraction form
    1,823.77/2,735.67 = 525.23/x
  3. Step 3: Cross multiply
    1,823.77x = 2,735.67 × 525.23
  4. Step 4: Simplify right side
    1,823.77x = 1,436,869.89
  5. Step 5: Solve for x
    x = 1,436,869.89/1,823.77
  6. Step 6: Final answer
    x = 787.86

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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.