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Finding the Fourth Proportional to 2,176.17, 3,003.10 and 1,181.44

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Solution

The fourth proportional to 2,176.17, 3,003.10 and 1,181.44 is: 1,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.17 : 3,003.10 = 1,181.44 : x
  2. Step 2: Convert to fraction form
    2,176.17/3,003.10 = 1,181.44/x
  3. Step 3: Cross multiply
    2,176.17x = 3,003.10 × 1,181.44
  4. Step 4: Simplify right side
    2,176.17x = 3,547,982.46
  5. Step 5: Solve for x
    x = 3,547,982.46/2,176.17
  6. Step 6: Final answer
    x = 1,630.38

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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.