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Finding the Fourth Proportional to 1,546.10, 2,321.55 and 898.10

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Solution

The fourth proportional to 1,546.10, 2,321.55 and 898.10 is: 1,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.10 : 2,321.55 = 898.10 : x
  2. Step 2: Convert to fraction form
    1,546.10/2,321.55 = 898.10/x
  3. Step 3: Cross multiply
    1,546.10x = 2,321.55 × 898.10
  4. Step 4: Simplify right side
    1,546.10x = 2,084,984.06
  5. Step 5: Solve for x
    x = 2,084,984.06/1,546.10
  6. Step 6: Final answer
    x = 1,348.54

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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.