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Finding the Fourth Proportional to 2,176.89, 3,004.71 and 1,380.34

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Solution

The fourth proportional to 2,176.89, 3,004.71 and 1,380.34 is: 1,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.89 : 3,004.71 = 1,380.34 : x
  2. Step 2: Convert to fraction form
    2,176.89/3,004.71 = 1,380.34/x
  3. Step 3: Cross multiply
    2,176.89x = 3,004.71 × 1,380.34
  4. Step 4: Simplify right side
    2,176.89x = 4,147,521.40
  5. Step 5: Solve for x
    x = 4,147,521.40/2,176.89
  6. Step 6: Final answer
    x = 1,905.25

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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.