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Finding the Fourth Proportional to 2,888, 4,327.92 and 1,425.12

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Solution

The fourth proportional to 2,888, 4,327.92 and 1,425.12 is: 2,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888 : 4,327.92 = 1,425.12 : x
  2. Step 2: Convert to fraction form
    2,888/4,327.92 = 1,425.12/x
  3. Step 3: Cross multiply
    2,888x = 4,327.92 × 1,425.12
  4. Step 4: Simplify right side
    2,888x = 6,167,805.35
  5. Step 5: Solve for x
    x = 6,167,805.35/2,888
  6. Step 6: Final answer
    x = 2,135.67

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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.