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Finding the Fourth Proportional to 2,382.16, 3,571.88 and 738.24

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Solution

The fourth proportional to 2,382.16, 3,571.88 and 738.24 is: 1,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.16 : 3,571.88 = 738.24 : x
  2. Step 2: Convert to fraction form
    2,382.16/3,571.88 = 738.24/x
  3. Step 3: Cross multiply
    2,382.16x = 3,571.88 × 738.24
  4. Step 4: Simplify right side
    2,382.16x = 2,636,904.69
  5. Step 5: Solve for x
    x = 2,636,904.69/2,382.16
  6. Step 6: Final answer
    x = 1,106.94

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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.