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Finding the Fourth Proportional to 2,125.14, 3,187.70 and 644.36

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Solution

The fourth proportional to 2,125.14, 3,187.70 and 644.36 is: 966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.14 : 3,187.70 = 644.36 : x
  2. Step 2: Convert to fraction form
    2,125.14/3,187.70 = 644.36/x
  3. Step 3: Cross multiply
    2,125.14x = 3,187.70 × 644.36
  4. Step 4: Simplify right side
    2,125.14x = 2,054,013.25
  5. Step 5: Solve for x
    x = 2,054,013.25/2,125.14
  6. Step 6: Final answer
    x = 966.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.