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Finding the Fourth Proportional to 3,000.40, 4,140.06 and 1,674.06

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Solution

The fourth proportional to 3,000.40, 4,140.06 and 1,674.06 is: 2,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.40 : 4,140.06 = 1,674.06 : x
  2. Step 2: Convert to fraction form
    3,000.40/4,140.06 = 1,674.06/x
  3. Step 3: Cross multiply
    3,000.40x = 4,140.06 × 1,674.06
  4. Step 4: Simplify right side
    3,000.40x = 6,930,708.84
  5. Step 5: Solve for x
    x = 6,930,708.84/3,000.40
  6. Step 6: Final answer
    x = 2,309.93

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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.