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Finding the Fourth Proportional to 2,176.90, 3,004.11 and 1,182.17

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Solution

The fourth proportional to 2,176.90, 3,004.11 and 1,182.17 is: 1,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.90 : 3,004.11 = 1,182.17 : x
  2. Step 2: Convert to fraction form
    2,176.90/3,004.11 = 1,182.17/x
  3. Step 3: Cross multiply
    2,176.90x = 3,004.11 × 1,182.17
  4. Step 4: Simplify right side
    2,176.90x = 3,551,368.72
  5. Step 5: Solve for x
    x = 3,551,368.72/2,176.90
  6. Step 6: Final answer
    x = 1,631.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.