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Finding the Fourth Proportional to 1,602.52, 2,197.04 and 1,573.36

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Solution

The fourth proportional to 1,602.52, 2,197.04 and 1,573.36 is: 2,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.52 : 2,197.04 = 1,573.36 : x
  2. Step 2: Convert to fraction form
    1,602.52/2,197.04 = 1,573.36/x
  3. Step 3: Cross multiply
    1,602.52x = 2,197.04 × 1,573.36
  4. Step 4: Simplify right side
    1,602.52x = 3,456,734.85
  5. Step 5: Solve for x
    x = 3,456,734.85/1,602.52
  6. Step 6: Final answer
    x = 2,157.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.