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Finding the Fourth Proportional to 1,633.56, 2,254.32 and 887.48

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Solution

The fourth proportional to 1,633.56, 2,254.32 and 887.48 is: 1,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.56 : 2,254.32 = 887.48 : x
  2. Step 2: Convert to fraction form
    1,633.56/2,254.32 = 887.48/x
  3. Step 3: Cross multiply
    1,633.56x = 2,254.32 × 887.48
  4. Step 4: Simplify right side
    1,633.56x = 2,000,663.91
  5. Step 5: Solve for x
    x = 2,000,663.91/1,633.56
  6. Step 6: Final answer
    x = 1,224.73

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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.