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Finding the Fourth Proportional to 2,592.56, 3,888.86 and 644.76

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Solution

The fourth proportional to 2,592.56, 3,888.86 and 644.76 is: 967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.56 : 3,888.86 = 644.76 : x
  2. Step 2: Convert to fraction form
    2,592.56/3,888.86 = 644.76/x
  3. Step 3: Cross multiply
    2,592.56x = 3,888.86 × 644.76
  4. Step 4: Simplify right side
    2,592.56x = 2,507,381.78
  5. Step 5: Solve for x
    x = 2,507,381.78/2,592.56
  6. Step 6: Final answer
    x = 967.15

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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.