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Finding the Fourth Proportional to 2,399.64, 3,314.70 and 1,902.84

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Solution

The fourth proportional to 2,399.64, 3,314.70 and 1,902.84 is: 2,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.64 : 3,314.70 = 1,902.84 : x
  2. Step 2: Convert to fraction form
    2,399.64/3,314.70 = 1,902.84/x
  3. Step 3: Cross multiply
    2,399.64x = 3,314.70 × 1,902.84
  4. Step 4: Simplify right side
    2,399.64x = 6,307,343.75
  5. Step 5: Solve for x
    x = 6,307,343.75/2,399.64
  6. Step 6: Final answer
    x = 2,628.45

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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.