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Finding the Fourth Proportional to 1,185.84, 1,631.85 and 1,093.50

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Solution

The fourth proportional to 1,185.84, 1,631.85 and 1,093.50 is: 1,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.84 : 1,631.85 = 1,093.50 : x
  2. Step 2: Convert to fraction form
    1,185.84/1,631.85 = 1,093.50/x
  3. Step 3: Cross multiply
    1,185.84x = 1,631.85 × 1,093.50
  4. Step 4: Simplify right side
    1,185.84x = 1,784,423.87
  5. Step 5: Solve for x
    x = 1,784,423.87/1,185.84
  6. Step 6: Final answer
    x = 1,504.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.