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Finding the Fourth Proportional to 1,142.62, 1,715.84 and 1,084.16

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Solution

The fourth proportional to 1,142.62, 1,715.84 and 1,084.16 is: 1,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.62 : 1,715.84 = 1,084.16 : x
  2. Step 2: Convert to fraction form
    1,142.62/1,715.84 = 1,084.16/x
  3. Step 3: Cross multiply
    1,142.62x = 1,715.84 × 1,084.16
  4. Step 4: Simplify right side
    1,142.62x = 1,860,245.09
  5. Step 5: Solve for x
    x = 1,860,245.09/1,142.62
  6. Step 6: Final answer
    x = 1,628.05

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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.