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Finding the Fourth Proportional to 2,176.85, 3,004.06 and 1,182.13

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Solution

The fourth proportional to 2,176.85, 3,004.06 and 1,182.13 is: 1,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.85 : 3,004.06 = 1,182.13 : x
  2. Step 2: Convert to fraction form
    2,176.85/3,004.06 = 1,182.13/x
  3. Step 3: Cross multiply
    2,176.85x = 3,004.06 × 1,182.13
  4. Step 4: Simplify right side
    2,176.85x = 3,551,189.45
  5. Step 5: Solve for x
    x = 3,551,189.45/2,176.85
  6. Step 6: Final answer
    x = 1,631.34

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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.