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Finding the Fourth Proportional to 2,979.74, 4,468.17 and 899.36

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Solution

The fourth proportional to 2,979.74, 4,468.17 and 899.36 is: 1,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.74 : 4,468.17 = 899.36 : x
  2. Step 2: Convert to fraction form
    2,979.74/4,468.17 = 899.36/x
  3. Step 3: Cross multiply
    2,979.74x = 4,468.17 × 899.36
  4. Step 4: Simplify right side
    2,979.74x = 4,018,491.16
  5. Step 5: Solve for x
    x = 4,018,491.16/2,979.74
  6. Step 6: Final answer
    x = 1,348.60

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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.