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Finding the Fourth Proportional to 2,402.97, 3,316.53 and 1,519.26

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Solution

The fourth proportional to 2,402.97, 3,316.53 and 1,519.26 is: 2,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.97 : 3,316.53 = 1,519.26 : x
  2. Step 2: Convert to fraction form
    2,402.97/3,316.53 = 1,519.26/x
  3. Step 3: Cross multiply
    2,402.97x = 3,316.53 × 1,519.26
  4. Step 4: Simplify right side
    2,402.97x = 5,038,671.37
  5. Step 5: Solve for x
    x = 5,038,671.37/2,402.97
  6. Step 6: Final answer
    x = 2,096.85

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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.