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Finding the Fourth Proportional to 3,044.14, 4,566.21 and 964.15

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Solution

The fourth proportional to 3,044.14, 4,566.21 and 964.15 is: 1,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.14 : 4,566.21 = 964.15 : x
  2. Step 2: Convert to fraction form
    3,044.14/4,566.21 = 964.15/x
  3. Step 3: Cross multiply
    3,044.14x = 4,566.21 × 964.15
  4. Step 4: Simplify right side
    3,044.14x = 4,402,511.37
  5. Step 5: Solve for x
    x = 4,402,511.37/3,044.14
  6. Step 6: Final answer
    x = 1,446.23

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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.