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Finding the Fourth Proportional to 2,476.88, 3,418.24 and 1,428.94

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Solution

The fourth proportional to 2,476.88, 3,418.24 and 1,428.94 is: 1,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.88 : 3,418.24 = 1,428.94 : x
  2. Step 2: Convert to fraction form
    2,476.88/3,418.24 = 1,428.94/x
  3. Step 3: Cross multiply
    2,476.88x = 3,418.24 × 1,428.94
  4. Step 4: Simplify right side
    2,476.88x = 4,884,447.75
  5. Step 5: Solve for x
    x = 4,884,447.75/2,476.88
  6. Step 6: Final answer
    x = 1,972.02

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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.