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Finding the Fourth Proportional to 2,824.40, 4,238.22 and 1,527.32

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Solution

The fourth proportional to 2,824.40, 4,238.22 and 1,527.32 is: 2,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.40 : 4,238.22 = 1,527.32 : x
  2. Step 2: Convert to fraction form
    2,824.40/4,238.22 = 1,527.32/x
  3. Step 3: Cross multiply
    2,824.40x = 4,238.22 × 1,527.32
  4. Step 4: Simplify right side
    2,824.40x = 6,473,118.17
  5. Step 5: Solve for x
    x = 6,473,118.17/2,824.40
  6. Step 6: Final answer
    x = 2,291.86

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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.