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Finding the Fourth Proportional to 2,830.10, 4,266.16 and 2,638.10

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Solution

The fourth proportional to 2,830.10, 4,266.16 and 2,638.10 is: 3,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.10 : 4,266.16 = 2,638.10 : x
  2. Step 2: Convert to fraction form
    2,830.10/4,266.16 = 2,638.10/x
  3. Step 3: Cross multiply
    2,830.10x = 4,266.16 × 2,638.10
  4. Step 4: Simplify right side
    2,830.10x = 11,254,543.51
  5. Step 5: Solve for x
    x = 11,254,543.51/2,830.10
  6. Step 6: Final answer
    x = 3,976.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.