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Finding the Fourth Proportional to 4,630.70, 6,946.04 and 2,681.84

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Solution

The fourth proportional to 4,630.70, 6,946.04 and 2,681.84 is: 4,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.70 : 6,946.04 = 2,681.84 : x
  2. Step 2: Convert to fraction form
    4,630.70/6,946.04 = 2,681.84/x
  3. Step 3: Cross multiply
    4,630.70x = 6,946.04 × 2,681.84
  4. Step 4: Simplify right side
    4,630.70x = 18,628,167.91
  5. Step 5: Solve for x
    x = 18,628,167.91/4,630.70
  6. Step 6: Final answer
    x = 4,022.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.