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Finding the Fourth Proportional to 3,014, 4,160.04 and 1,772.72

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Solution

The fourth proportional to 3,014, 4,160.04 and 1,772.72 is: 2,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014 : 4,160.04 = 1,772.72 : x
  2. Step 2: Convert to fraction form
    3,014/4,160.04 = 1,772.72/x
  3. Step 3: Cross multiply
    3,014x = 4,160.04 × 1,772.72
  4. Step 4: Simplify right side
    3,014x = 7,374,586.11
  5. Step 5: Solve for x
    x = 7,374,586.11/3,014
  6. Step 6: Final answer
    x = 2,446.78

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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.