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Finding the Fourth Proportional to 3,000.34, 4,140.42 and 1,674.19

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Solution

The fourth proportional to 3,000.34, 4,140.42 and 1,674.19 is: 2,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.34 : 4,140.42 = 1,674.19 : x
  2. Step 2: Convert to fraction form
    3,000.34/4,140.42 = 1,674.19/x
  3. Step 3: Cross multiply
    3,000.34x = 4,140.42 × 1,674.19
  4. Step 4: Simplify right side
    3,000.34x = 6,931,849.76
  5. Step 5: Solve for x
    x = 6,931,849.76/3,000.34
  6. Step 6: Final answer
    x = 2,310.35

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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.