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Finding the Fourth Proportional to 2,979.64, 4,468.26 and 899

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Solution

The fourth proportional to 2,979.64, 4,468.26 and 899 is: 1,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.64 : 4,468.26 = 899 : x
  2. Step 2: Convert to fraction form
    2,979.64/4,468.26 = 899/x
  3. Step 3: Cross multiply
    2,979.64x = 4,468.26 × 899
  4. Step 4: Simplify right side
    2,979.64x = 4,016,965.74
  5. Step 5: Solve for x
    x = 4,016,965.74/2,979.64
  6. Step 6: Final answer
    x = 1,348.14

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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.