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Finding the Fourth Proportional to 2,824.64, 4,241.82 and 1,527.02

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Solution

The fourth proportional to 2,824.64, 4,241.82 and 1,527.02 is: 2,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.64 : 4,241.82 = 1,527.02 : x
  2. Step 2: Convert to fraction form
    2,824.64/4,241.82 = 1,527.02/x
  3. Step 3: Cross multiply
    2,824.64x = 4,241.82 × 1,527.02
  4. Step 4: Simplify right side
    2,824.64x = 6,477,343.98
  5. Step 5: Solve for x
    x = 6,477,343.98/2,824.64
  6. Step 6: Final answer
    x = 2,293.16

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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.