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Finding the Fourth Proportional to 3,000.78, 4,140.58 and 1,674.44

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Solution

The fourth proportional to 3,000.78, 4,140.58 and 1,674.44 is: 2,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.78 : 4,140.58 = 1,674.44 : x
  2. Step 2: Convert to fraction form
    3,000.78/4,140.58 = 1,674.44/x
  3. Step 3: Cross multiply
    3,000.78x = 4,140.58 × 1,674.44
  4. Step 4: Simplify right side
    3,000.78x = 6,933,152.78
  5. Step 5: Solve for x
    x = 6,933,152.78/3,000.78
  6. Step 6: Final answer
    x = 2,310.45

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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.