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Finding the Fourth Proportional to 4,632.84, 6,951.24 and 2,034

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Solution

The fourth proportional to 4,632.84, 6,951.24 and 2,034 is: 3,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.84 : 6,951.24 = 2,034 : x
  2. Step 2: Convert to fraction form
    4,632.84/6,951.24 = 2,034/x
  3. Step 3: Cross multiply
    4,632.84x = 6,951.24 × 2,034
  4. Step 4: Simplify right side
    4,632.84x = 14,138,822.16
  5. Step 5: Solve for x
    x = 14,138,822.16/4,632.84
  6. Step 6: Final answer
    x = 3,051.87

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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.