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Finding the Fourth Proportional to 2,946.63, 4,423.19 and 2,643.69

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Solution

The fourth proportional to 2,946.63, 4,423.19 and 2,643.69 is: 3,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.63 : 4,423.19 = 2,643.69 : x
  2. Step 2: Convert to fraction form
    2,946.63/4,423.19 = 2,643.69/x
  3. Step 3: Cross multiply
    2,946.63x = 4,423.19 × 2,643.69
  4. Step 4: Simplify right side
    2,946.63x = 11,693,529.95
  5. Step 5: Solve for x
    x = 11,693,529.95/2,946.63
  6. Step 6: Final answer
    x = 3,968.44

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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.