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Finding the Fourth Proportional to 3,087.84, 4,632 and 896.61

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Solution

The fourth proportional to 3,087.84, 4,632 and 896.61 is: 1,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.84 : 4,632 = 896.61 : x
  2. Step 2: Convert to fraction form
    3,087.84/4,632 = 896.61/x
  3. Step 3: Cross multiply
    3,087.84x = 4,632 × 896.61
  4. Step 4: Simplify right side
    3,087.84x = 4,153,097.52
  5. Step 5: Solve for x
    x = 4,153,097.52/3,087.84
  6. Step 6: Final answer
    x = 1,344.98

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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.