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Finding the Fourth Proportional to 1,602.66, 2,213.76 and 1,104.42

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Solution

The fourth proportional to 1,602.66, 2,213.76 and 1,104.42 is: 1,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.66 : 2,213.76 = 1,104.42 : x
  2. Step 2: Convert to fraction form
    1,602.66/2,213.76 = 1,104.42/x
  3. Step 3: Cross multiply
    1,602.66x = 2,213.76 × 1,104.42
  4. Step 4: Simplify right side
    1,602.66x = 2,444,920.82
  5. Step 5: Solve for x
    x = 2,444,920.82/1,602.66
  6. Step 6: Final answer
    x = 1,525.54

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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.