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Finding the Fourth Proportional to 2,378.40, 3,566.40 and 2,112

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Solution

The fourth proportional to 2,378.40, 3,566.40 and 2,112 is: 3,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.40 : 3,566.40 = 2,112 : x
  2. Step 2: Convert to fraction form
    2,378.40/3,566.40 = 2,112/x
  3. Step 3: Cross multiply
    2,378.40x = 3,566.40 × 2,112
  4. Step 4: Simplify right side
    2,378.40x = 7,532,236.80
  5. Step 5: Solve for x
    x = 7,532,236.80/2,378.40
  6. Step 6: Final answer
    x = 3,166.93

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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.