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Finding the Fourth Proportional to 2,546.55, 3,506.43 and 2,230.05

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Solution

The fourth proportional to 2,546.55, 3,506.43 and 2,230.05 is: 3,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.55 : 3,506.43 = 2,230.05 : x
  2. Step 2: Convert to fraction form
    2,546.55/3,506.43 = 2,230.05/x
  3. Step 3: Cross multiply
    2,546.55x = 3,506.43 × 2,230.05
  4. Step 4: Simplify right side
    2,546.55x = 7,819,514.22
  5. Step 5: Solve for x
    x = 7,819,514.22/2,546.55
  6. Step 6: Final answer
    x = 3,070.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.