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Finding the Fourth Proportional to 2,384.65, 3,576.78 and 803.38

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Solution

The fourth proportional to 2,384.65, 3,576.78 and 803.38 is: 1,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.65 : 3,576.78 = 803.38 : x
  2. Step 2: Convert to fraction form
    2,384.65/3,576.78 = 803.38/x
  3. Step 3: Cross multiply
    2,384.65x = 3,576.78 × 803.38
  4. Step 4: Simplify right side
    2,384.65x = 2,873,513.52
  5. Step 5: Solve for x
    x = 2,873,513.52/2,384.65
  6. Step 6: Final answer
    x = 1,205.00

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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.