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Finding the Fourth Proportional to 1,964.56, 2,946.82 and 503.71

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Solution

The fourth proportional to 1,964.56, 2,946.82 and 503.71 is: 755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.56 : 2,946.82 = 503.71 : x
  2. Step 2: Convert to fraction form
    1,964.56/2,946.82 = 503.71/x
  3. Step 3: Cross multiply
    1,964.56x = 2,946.82 × 503.71
  4. Step 4: Simplify right side
    1,964.56x = 1,484,342.70
  5. Step 5: Solve for x
    x = 1,484,342.70/1,964.56
  6. Step 6: Final answer
    x = 755.56

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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.