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Finding the Fourth Proportional to 3,112.84, 4,668.78 and 1,381.16

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Solution

The fourth proportional to 3,112.84, 4,668.78 and 1,381.16 is: 2,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.84 : 4,668.78 = 1,381.16 : x
  2. Step 2: Convert to fraction form
    3,112.84/4,668.78 = 1,381.16/x
  3. Step 3: Cross multiply
    3,112.84x = 4,668.78 × 1,381.16
  4. Step 4: Simplify right side
    3,112.84x = 6,448,332.18
  5. Step 5: Solve for x
    x = 6,448,332.18/3,112.84
  6. Step 6: Final answer
    x = 2,071.53

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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.