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Finding the Fourth Proportional to 2,176.87, 3,004.10 and 1,182.16

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Solution

The fourth proportional to 2,176.87, 3,004.10 and 1,182.16 is: 1,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.87 : 3,004.10 = 1,182.16 : x
  2. Step 2: Convert to fraction form
    2,176.87/3,004.10 = 1,182.16/x
  3. Step 3: Cross multiply
    2,176.87x = 3,004.10 × 1,182.16
  4. Step 4: Simplify right side
    2,176.87x = 3,551,326.86
  5. Step 5: Solve for x
    x = 3,551,326.86/2,176.87
  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.