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Finding the Fourth Proportional to 1,635.90, 2,257.53 and 889.86

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Solution

The fourth proportional to 1,635.90, 2,257.53 and 889.86 is: 1,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.90 : 2,257.53 = 889.86 : x
  2. Step 2: Convert to fraction form
    1,635.90/2,257.53 = 889.86/x
  3. Step 3: Cross multiply
    1,635.90x = 2,257.53 × 889.86
  4. Step 4: Simplify right side
    1,635.90x = 2,008,885.65
  5. Step 5: Solve for x
    x = 2,008,885.65/1,635.90
  6. Step 6: Final answer
    x = 1,228.00

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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.