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Finding the Fourth Proportional to 3,044.16, 4,566.87 and 964.71

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Solution

The fourth proportional to 3,044.16, 4,566.87 and 964.71 is: 1,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.16 : 4,566.87 = 964.71 : x
  2. Step 2: Convert to fraction form
    3,044.16/4,566.87 = 964.71/x
  3. Step 3: Cross multiply
    3,044.16x = 4,566.87 × 964.71
  4. Step 4: Simplify right side
    3,044.16x = 4,405,705.16
  5. Step 5: Solve for x
    x = 4,405,705.16/3,044.16
  6. Step 6: Final answer
    x = 1,447.26

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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.