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Finding the Fourth Proportional to 1,602.54, 2,211.40 and 894.48

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Solution

The fourth proportional to 1,602.54, 2,211.40 and 894.48 is: 1,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.54 : 2,211.40 = 894.48 : x
  2. Step 2: Convert to fraction form
    1,602.54/2,211.40 = 894.48/x
  3. Step 3: Cross multiply
    1,602.54x = 2,211.40 × 894.48
  4. Step 4: Simplify right side
    1,602.54x = 1,978,053.07
  5. Step 5: Solve for x
    x = 1,978,053.07/1,602.54
  6. Step 6: Final answer
    x = 1,234.32

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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.