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Finding the Fourth Proportional to 1,885.21, 2,827.38 and 715.34

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Solution

The fourth proportional to 1,885.21, 2,827.38 and 715.34 is: 1,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.21 : 2,827.38 = 715.34 : x
  2. Step 2: Convert to fraction form
    1,885.21/2,827.38 = 715.34/x
  3. Step 3: Cross multiply
    1,885.21x = 2,827.38 × 715.34
  4. Step 4: Simplify right side
    1,885.21x = 2,022,537.80
  5. Step 5: Solve for x
    x = 2,022,537.80/1,885.21
  6. Step 6: Final answer
    x = 1,072.85

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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.