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Finding the Fourth Proportional to 2,546.64, 3,514.23 and 1,602.63

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Solution

The fourth proportional to 2,546.64, 3,514.23 and 1,602.63 is: 2,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.64 : 3,514.23 = 1,602.63 : x
  2. Step 2: Convert to fraction form
    2,546.64/3,514.23 = 1,602.63/x
  3. Step 3: Cross multiply
    2,546.64x = 3,514.23 × 1,602.63
  4. Step 4: Simplify right side
    2,546.64x = 5,632,010.42
  5. Step 5: Solve for x
    x = 5,632,010.42/2,546.64
  6. Step 6: Final answer
    x = 2,211.55

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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.