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Finding the Fourth Proportional to 2,902.76, 4,353.94 and 1,344.02

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Solution

The fourth proportional to 2,902.76, 4,353.94 and 1,344.02 is: 2,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.76 : 4,353.94 = 1,344.02 : x
  2. Step 2: Convert to fraction form
    2,902.76/4,353.94 = 1,344.02/x
  3. Step 3: Cross multiply
    2,902.76x = 4,353.94 × 1,344.02
  4. Step 4: Simplify right side
    2,902.76x = 5,851,762.35
  5. Step 5: Solve for x
    x = 5,851,762.35/2,902.76
  6. Step 6: Final answer
    x = 2,015.93

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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.