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Finding the Fourth Proportional to 1,576.89, 2,175.48 and 987.82

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Solution

The fourth proportional to 1,576.89, 2,175.48 and 987.82 is: 1,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.89 : 2,175.48 = 987.82 : x
  2. Step 2: Convert to fraction form
    1,576.89/2,175.48 = 987.82/x
  3. Step 3: Cross multiply
    1,576.89x = 2,175.48 × 987.82
  4. Step 4: Simplify right side
    1,576.89x = 2,148,977.21
  5. Step 5: Solve for x
    x = 2,148,977.21/1,576.89
  6. Step 6: Final answer
    x = 1,362.79

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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.