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Finding the Fourth Proportional to 2,451.72, 3,684.90 and 1,810.20

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Solution

The fourth proportional to 2,451.72, 3,684.90 and 1,810.20 is: 2,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.72 : 3,684.90 = 1,810.20 : x
  2. Step 2: Convert to fraction form
    2,451.72/3,684.90 = 1,810.20/x
  3. Step 3: Cross multiply
    2,451.72x = 3,684.90 × 1,810.20
  4. Step 4: Simplify right side
    2,451.72x = 6,670,405.98
  5. Step 5: Solve for x
    x = 6,670,405.98/2,451.72
  6. Step 6: Final answer
    x = 2,720.70

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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.