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Finding the Fourth Proportional to 2,176.90, 3,003 and 2,093.02

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Solution

The fourth proportional to 2,176.90, 3,003 and 2,093.02 is: 2,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.90 : 3,003 = 2,093.02 : x
  2. Step 2: Convert to fraction form
    2,176.90/3,003 = 2,093.02/x
  3. Step 3: Cross multiply
    2,176.90x = 3,003 × 2,093.02
  4. Step 4: Simplify right side
    2,176.90x = 6,285,339.06
  5. Step 5: Solve for x
    x = 6,285,339.06/2,176.90
  6. Step 6: Final answer
    x = 2,887.29

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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.