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Finding the Fourth Proportional to 2,384.20, 3,576.08 and 824.06

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Solution

The fourth proportional to 2,384.20, 3,576.08 and 824.06 is: 1,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.20 : 3,576.08 = 824.06 : x
  2. Step 2: Convert to fraction form
    2,384.20/3,576.08 = 824.06/x
  3. Step 3: Cross multiply
    2,384.20x = 3,576.08 × 824.06
  4. Step 4: Simplify right side
    2,384.20x = 2,946,904.48
  5. Step 5: Solve for x
    x = 2,946,904.48/2,384.20
  6. Step 6: Final answer
    x = 1,236.01

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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.