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Finding the Fourth Proportional to 2,937.71, 4,406.75 and 963.47

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Solution

The fourth proportional to 2,937.71, 4,406.75 and 963.47 is: 1,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.71 : 4,406.75 = 963.47 : x
  2. Step 2: Convert to fraction form
    2,937.71/4,406.75 = 963.47/x
  3. Step 3: Cross multiply
    2,937.71x = 4,406.75 × 963.47
  4. Step 4: Simplify right side
    2,937.71x = 4,245,771.42
  5. Step 5: Solve for x
    x = 4,245,771.42/2,937.71
  6. Step 6: Final answer
    x = 1,445.27

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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.