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Finding the Fourth Proportional to 1,546.70, 2,133.51 and 1,022.90

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Solution

The fourth proportional to 1,546.70, 2,133.51 and 1,022.90 is: 1,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.70 : 2,133.51 = 1,022.90 : x
  2. Step 2: Convert to fraction form
    1,546.70/2,133.51 = 1,022.90/x
  3. Step 3: Cross multiply
    1,546.70x = 2,133.51 × 1,022.90
  4. Step 4: Simplify right side
    1,546.70x = 2,182,367.38
  5. Step 5: Solve for x
    x = 2,182,367.38/1,546.70
  6. Step 6: Final answer
    x = 1,410.98

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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.