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Finding the Fourth Proportional to 2,512.85, 3,467.14 and 1,604.74

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Solution

The fourth proportional to 2,512.85, 3,467.14 and 1,604.74 is: 2,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.85 : 3,467.14 = 1,604.74 : x
  2. Step 2: Convert to fraction form
    2,512.85/3,467.14 = 1,604.74/x
  3. Step 3: Cross multiply
    2,512.85x = 3,467.14 × 1,604.74
  4. Step 4: Simplify right side
    2,512.85x = 5,563,858.57
  5. Step 5: Solve for x
    x = 5,563,858.57/2,512.85
  6. Step 6: Final answer
    x = 2,214.16

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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.