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Finding the Fourth Proportional to 2,893.59, 4,341.60 and 2,546.10

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Solution

The fourth proportional to 2,893.59, 4,341.60 and 2,546.10 is: 3,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.59 : 4,341.60 = 2,546.10 : x
  2. Step 2: Convert to fraction form
    2,893.59/4,341.60 = 2,546.10/x
  3. Step 3: Cross multiply
    2,893.59x = 4,341.60 × 2,546.10
  4. Step 4: Simplify right side
    2,893.59x = 11,054,147.76
  5. Step 5: Solve for x
    x = 11,054,147.76/2,893.59
  6. Step 6: Final answer
    x = 3,820.22

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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.