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Finding the Fourth Proportional to 3,154.86, 4,733.01 and 963.81

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Solution

The fourth proportional to 3,154.86, 4,733.01 and 963.81 is: 1,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.86 : 4,733.01 = 963.81 : x
  2. Step 2: Convert to fraction form
    3,154.86/4,733.01 = 963.81/x
  3. Step 3: Cross multiply
    3,154.86x = 4,733.01 × 963.81
  4. Step 4: Simplify right side
    3,154.86x = 4,561,722.37
  5. Step 5: Solve for x
    x = 4,561,722.37/3,154.86
  6. Step 6: Final answer
    x = 1,445.93

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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.