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Finding the Fourth Proportional to 1,808.21, 2,711.49 and 712.38

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Solution

The fourth proportional to 1,808.21, 2,711.49 and 712.38 is: 1,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.21 : 2,711.49 = 712.38 : x
  2. Step 2: Convert to fraction form
    1,808.21/2,711.49 = 712.38/x
  3. Step 3: Cross multiply
    1,808.21x = 2,711.49 × 712.38
  4. Step 4: Simplify right side
    1,808.21x = 1,931,611.25
  5. Step 5: Solve for x
    x = 1,931,611.25/1,808.21
  6. Step 6: Final answer
    x = 1,068.25

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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.