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Finding the Fourth Proportional to 2,801.10, 4,201.65 and 2,498.70

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Solution

The fourth proportional to 2,801.10, 4,201.65 and 2,498.70 is: 3,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.10 : 4,201.65 = 2,498.70 : x
  2. Step 2: Convert to fraction form
    2,801.10/4,201.65 = 2,498.70/x
  3. Step 3: Cross multiply
    2,801.10x = 4,201.65 × 2,498.70
  4. Step 4: Simplify right side
    2,801.10x = 10,498,662.86
  5. Step 5: Solve for x
    x = 10,498,662.86/2,801.10
  6. Step 6: Final answer
    x = 3,748.05

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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.