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Finding the Fourth Proportional to 1,986.24, 2,979.39 and 525.60

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Solution

The fourth proportional to 1,986.24, 2,979.39 and 525.60 is: 788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.24 : 2,979.39 = 525.60 : x
  2. Step 2: Convert to fraction form
    1,986.24/2,979.39 = 525.60/x
  3. Step 3: Cross multiply
    1,986.24x = 2,979.39 × 525.60
  4. Step 4: Simplify right side
    1,986.24x = 1,565,967.38
  5. Step 5: Solve for x
    x = 1,565,967.38/1,986.24
  6. Step 6: Final answer
    x = 788.41

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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.