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Finding the Fourth Proportional to 3,000.76, 4,142.40 and 1,806.28

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Solution

The fourth proportional to 3,000.76, 4,142.40 and 1,806.28 is: 2,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.76 : 4,142.40 = 1,806.28 : x
  2. Step 2: Convert to fraction form
    3,000.76/4,142.40 = 1,806.28/x
  3. Step 3: Cross multiply
    3,000.76x = 4,142.40 × 1,806.28
  4. Step 4: Simplify right side
    3,000.76x = 7,482,334.27
  5. Step 5: Solve for x
    x = 7,482,334.27/3,000.76
  6. Step 6: Final answer
    x = 2,493.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.