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Finding the Fourth Proportional to 1,964.48, 2,946.24 and 596.48

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Solution

The fourth proportional to 1,964.48, 2,946.24 and 596.48 is: 894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.48 : 2,946.24 = 596.48 : x
  2. Step 2: Convert to fraction form
    1,964.48/2,946.24 = 596.48/x
  3. Step 3: Cross multiply
    1,964.48x = 2,946.24 × 596.48
  4. Step 4: Simplify right side
    1,964.48x = 1,757,373.24
  5. Step 5: Solve for x
    x = 1,757,373.24/1,964.48
  6. Step 6: Final answer
    x = 894.57

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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.