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Finding the Fourth Proportional to 1,546.39, 2,134.02 and 883.23

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Solution

The fourth proportional to 1,546.39, 2,134.02 and 883.23 is: 1,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.39 : 2,134.02 = 883.23 : x
  2. Step 2: Convert to fraction form
    1,546.39/2,134.02 = 883.23/x
  3. Step 3: Cross multiply
    1,546.39x = 2,134.02 × 883.23
  4. Step 4: Simplify right side
    1,546.39x = 1,884,830.48
  5. Step 5: Solve for x
    x = 1,884,830.48/1,546.39
  6. Step 6: Final answer
    x = 1,218.86

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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.