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Finding the Fourth Proportional to 2,970.27, 4,456.02 and 890.19

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Solution

The fourth proportional to 2,970.27, 4,456.02 and 890.19 is: 1,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.27 : 4,456.02 = 890.19 : x
  2. Step 2: Convert to fraction form
    2,970.27/4,456.02 = 890.19/x
  3. Step 3: Cross multiply
    2,970.27x = 4,456.02 × 890.19
  4. Step 4: Simplify right side
    2,970.27x = 3,966,704.44
  5. Step 5: Solve for x
    x = 3,966,704.44/2,970.27
  6. Step 6: Final answer
    x = 1,335.47

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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.