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Finding the Fourth Proportional to 1,635.60, 2,257.06 and 889.52

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Solution

The fourth proportional to 1,635.60, 2,257.06 and 889.52 is: 1,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.60 : 2,257.06 = 889.52 : x
  2. Step 2: Convert to fraction form
    1,635.60/2,257.06 = 889.52/x
  3. Step 3: Cross multiply
    1,635.60x = 2,257.06 × 889.52
  4. Step 4: Simplify right side
    1,635.60x = 2,007,700.01
  5. Step 5: Solve for x
    x = 2,007,700.01/1,635.60
  6. Step 6: Final answer
    x = 1,227.50

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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.