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Finding the Fourth Proportional to 4,384.25, 6,576 and 1,610.81

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Solution

The fourth proportional to 4,384.25, 6,576 and 1,610.81 is: 2,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.25 : 6,576 = 1,610.81 : x
  2. Step 2: Convert to fraction form
    4,384.25/6,576 = 1,610.81/x
  3. Step 3: Cross multiply
    4,384.25x = 6,576 × 1,610.81
  4. Step 4: Simplify right side
    4,384.25x = 10,592,686.56
  5. Step 5: Solve for x
    x = 10,592,686.56/4,384.25
  6. Step 6: Final answer
    x = 2,416.08

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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.