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Finding the Fourth Proportional to 2,812.32, 4,194.72 and 2,376.48

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Solution

The fourth proportional to 2,812.32, 4,194.72 and 2,376.48 is: 3,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.32 : 4,194.72 = 2,376.48 : x
  2. Step 2: Convert to fraction form
    2,812.32/4,194.72 = 2,376.48/x
  3. Step 3: Cross multiply
    2,812.32x = 4,194.72 × 2,376.48
  4. Step 4: Simplify right side
    2,812.32x = 9,968,668.19
  5. Step 5: Solve for x
    x = 9,968,668.19/2,812.32
  6. Step 6: Final answer
    x = 3,544.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.