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Finding the Fourth Proportional to 1,579.90, 2,180.37 and 871.87

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Solution

The fourth proportional to 1,579.90, 2,180.37 and 871.87 is: 1,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.90 : 2,180.37 = 871.87 : x
  2. Step 2: Convert to fraction form
    1,579.90/2,180.37 = 871.87/x
  3. Step 3: Cross multiply
    1,579.90x = 2,180.37 × 871.87
  4. Step 4: Simplify right side
    1,579.90x = 1,900,988.29
  5. Step 5: Solve for x
    x = 1,900,988.29/1,579.90
  6. Step 6: Final answer
    x = 1,203.24

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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.