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Finding the Fourth Proportional to 1,986.12, 2,979.33 and 525.23

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Solution

The fourth proportional to 1,986.12, 2,979.33 and 525.23 is: 787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.12 : 2,979.33 = 525.23 : x
  2. Step 2: Convert to fraction form
    1,986.12/2,979.33 = 525.23/x
  3. Step 3: Cross multiply
    1,986.12x = 2,979.33 × 525.23
  4. Step 4: Simplify right side
    1,986.12x = 1,564,847.52
  5. Step 5: Solve for x
    x = 1,564,847.52/1,986.12
  6. Step 6: Final answer
    x = 787.89

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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.