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Finding the Fourth Proportional to 1,546.10, 2,320.60 and 816.20

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Solution

The fourth proportional to 1,546.10, 2,320.60 and 816.20 is: 1,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.10 : 2,320.60 = 816.20 : x
  2. Step 2: Convert to fraction form
    1,546.10/2,320.60 = 816.20/x
  3. Step 3: Cross multiply
    1,546.10x = 2,320.60 × 816.20
  4. Step 4: Simplify right side
    1,546.10x = 1,894,073.72
  5. Step 5: Solve for x
    x = 1,894,073.72/1,546.10
  6. Step 6: Final answer
    x = 1,225.07

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