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Finding the Fourth Proportional to 1,602.36, 2,211.12 and 894.27

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Solution

The fourth proportional to 1,602.36, 2,211.12 and 894.27 is: 1,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.36 : 2,211.12 = 894.27 : x
  2. Step 2: Convert to fraction form
    1,602.36/2,211.12 = 894.27/x
  3. Step 3: Cross multiply
    1,602.36x = 2,211.12 × 894.27
  4. Step 4: Simplify right side
    1,602.36x = 1,977,338.28
  5. Step 5: Solve for x
    x = 1,977,338.28/1,602.36
  6. Step 6: Final answer
    x = 1,234.02

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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.