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Finding the Fourth Proportional to 1,812.78, 2,502.90 and 1,419.12

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Solution

The fourth proportional to 1,812.78, 2,502.90 and 1,419.12 is: 1,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.78 : 2,502.90 = 1,419.12 : x
  2. Step 2: Convert to fraction form
    1,812.78/2,502.90 = 1,419.12/x
  3. Step 3: Cross multiply
    1,812.78x = 2,502.90 × 1,419.12
  4. Step 4: Simplify right side
    1,812.78x = 3,551,915.45
  5. Step 5: Solve for x
    x = 3,551,915.45/1,812.78
  6. Step 6: Final answer
    x = 1,959.37

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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.