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Finding the Fourth Proportional to 2,384.51, 3,576.77 and 653.27

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Solution

The fourth proportional to 2,384.51, 3,576.77 and 653.27 is: 979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.51 : 3,576.77 = 653.27 : x
  2. Step 2: Convert to fraction form
    2,384.51/3,576.77 = 653.27/x
  3. Step 3: Cross multiply
    2,384.51x = 3,576.77 × 653.27
  4. Step 4: Simplify right side
    2,384.51x = 2,336,596.54
  5. Step 5: Solve for x
    x = 2,336,596.54/2,384.51
  6. Step 6: Final answer
    x = 979.91

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1.5x scale

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.