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Finding the Fourth Proportional to 2,975.46, 4,458.90 and 1,674.18

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Solution

The fourth proportional to 2,975.46, 4,458.90 and 1,674.18 is: 2,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.46 : 4,458.90 = 1,674.18 : x
  2. Step 2: Convert to fraction form
    2,975.46/4,458.90 = 1,674.18/x
  3. Step 3: Cross multiply
    2,975.46x = 4,458.90 × 1,674.18
  4. Step 4: Simplify right side
    2,975.46x = 7,465,001.20
  5. Step 5: Solve for x
    x = 7,465,001.20/2,975.46
  6. Step 6: Final answer
    x = 2,508.86

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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.