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Finding the Fourth Proportional to 2,592.49, 3,888.73 and 644.69

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Solution

The fourth proportional to 2,592.49, 3,888.73 and 644.69 is: 967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.49 : 3,888.73 = 644.69 : x
  2. Step 2: Convert to fraction form
    2,592.49/3,888.73 = 644.69/x
  3. Step 3: Cross multiply
    2,592.49x = 3,888.73 × 644.69
  4. Step 4: Simplify right side
    2,592.49x = 2,507,025.34
  5. Step 5: Solve for x
    x = 2,507,025.34/2,592.49
  6. Step 6: Final answer
    x = 967.03

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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.