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Finding the Fourth Proportional to 1,576.69, 2,175.38 and 987.23

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Solution

The fourth proportional to 1,576.69, 2,175.38 and 987.23 is: 1,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.69 : 2,175.38 = 987.23 : x
  2. Step 2: Convert to fraction form
    1,576.69/2,175.38 = 987.23/x
  3. Step 3: Cross multiply
    1,576.69x = 2,175.38 × 987.23
  4. Step 4: Simplify right side
    1,576.69x = 2,147,592.08
  5. Step 5: Solve for x
    x = 2,147,592.08/1,576.69
  6. Step 6: Final answer
    x = 1,362.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.