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Finding the Fourth Proportional to 2,979.71, 4,468.11 and 899.32

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Solution

The fourth proportional to 2,979.71, 4,468.11 and 899.32 is: 1,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.71 : 4,468.11 = 899.32 : x
  2. Step 2: Convert to fraction form
    2,979.71/4,468.11 = 899.32/x
  3. Step 3: Cross multiply
    2,979.71x = 4,468.11 × 899.32
  4. Step 4: Simplify right side
    2,979.71x = 4,018,271.86
  5. Step 5: Solve for x
    x = 4,018,271.86/2,979.71
  6. Step 6: Final answer
    x = 1,348.54

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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.