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Finding the Fourth Proportional to 1,546.60, 2,320.58 and 852.43

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Solution

The fourth proportional to 1,546.60, 2,320.58 and 852.43 is: 1,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.60 : 2,320.58 = 852.43 : x
  2. Step 2: Convert to fraction form
    1,546.60/2,320.58 = 852.43/x
  3. Step 3: Cross multiply
    1,546.60x = 2,320.58 × 852.43
  4. Step 4: Simplify right side
    1,546.60x = 1,978,132.01
  5. Step 5: Solve for x
    x = 1,978,132.01/1,546.60
  6. Step 6: Final answer
    x = 1,279.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.