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Finding the Fourth Proportional to 2,384.44, 3,576.91 and 653.06

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Solution

The fourth proportional to 2,384.44, 3,576.91 and 653.06 is: 979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.44 : 3,576.91 = 653.06 : x
  2. Step 2: Convert to fraction form
    2,384.44/3,576.91 = 653.06/x
  3. Step 3: Cross multiply
    2,384.44x = 3,576.91 × 653.06
  4. Step 4: Simplify right side
    2,384.44x = 2,335,945.38
  5. Step 5: Solve for x
    x = 2,335,945.38/2,384.44
  6. Step 6: Final answer
    x = 979.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.