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Finding the Fourth Proportional to 3,446.81, 4,756.56 and 1,874.90

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Solution

The fourth proportional to 3,446.81, 4,756.56 and 1,874.90 is: 2,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.81 : 4,756.56 = 1,874.90 : x
  2. Step 2: Convert to fraction form
    3,446.81/4,756.56 = 1,874.90/x
  3. Step 3: Cross multiply
    3,446.81x = 4,756.56 × 1,874.90
  4. Step 4: Simplify right side
    3,446.81x = 8,918,074.34
  5. Step 5: Solve for x
    x = 8,918,074.34/3,446.81
  6. Step 6: Final answer
    x = 2,587.34

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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.