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Finding the Fourth Proportional to 1,597.88, 2,205.08 and 889.72

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Solution

The fourth proportional to 1,597.88, 2,205.08 and 889.72 is: 1,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.88 : 2,205.08 = 889.72 : x
  2. Step 2: Convert to fraction form
    1,597.88/2,205.08 = 889.72/x
  3. Step 3: Cross multiply
    1,597.88x = 2,205.08 × 889.72
  4. Step 4: Simplify right side
    1,597.88x = 1,961,903.78
  5. Step 5: Solve for x
    x = 1,961,903.78/1,597.88
  6. Step 6: Final answer
    x = 1,227.82

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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.