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Finding the Fourth Proportional to 4,643.64, 6,960.78 and 2,044.44

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Solution

The fourth proportional to 4,643.64, 6,960.78 and 2,044.44 is: 3,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.64 : 6,960.78 = 2,044.44 : x
  2. Step 2: Convert to fraction form
    4,643.64/6,960.78 = 2,044.44/x
  3. Step 3: Cross multiply
    4,643.64x = 6,960.78 × 2,044.44
  4. Step 4: Simplify right side
    4,643.64x = 14,230,897.06
  5. Step 5: Solve for x
    x = 14,230,897.06/4,643.64
  6. Step 6: Final answer
    x = 3,064.60

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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.