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Finding the Fourth Proportional to 2,543.09, 3,810.99 and 1,445.14

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Solution

The fourth proportional to 2,543.09, 3,810.99 and 1,445.14 is: 2,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.09 : 3,810.99 = 1,445.14 : x
  2. Step 2: Convert to fraction form
    2,543.09/3,810.99 = 1,445.14/x
  3. Step 3: Cross multiply
    2,543.09x = 3,810.99 × 1,445.14
  4. Step 4: Simplify right side
    2,543.09x = 5,507,414.09
  5. Step 5: Solve for x
    x = 5,507,414.09/2,543.09
  6. Step 6: Final answer
    x = 2,165.64

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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.