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Finding the Fourth Proportional to 1,467.48, 2,199.60 and 979.86

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Solution

The fourth proportional to 1,467.48, 2,199.60 and 979.86 is: 1,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.48 : 2,199.60 = 979.86 : x
  2. Step 2: Convert to fraction form
    1,467.48/2,199.60 = 979.86/x
  3. Step 3: Cross multiply
    1,467.48x = 2,199.60 × 979.86
  4. Step 4: Simplify right side
    1,467.48x = 2,155,300.06
  5. Step 5: Solve for x
    x = 2,155,300.06/1,467.48
  6. Step 6: Final answer
    x = 1,468.71

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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.