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Finding the Fourth Proportional to 2,622.63, 3,618.35 and 1,781.88

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Solution

The fourth proportional to 2,622.63, 3,618.35 and 1,781.88 is: 2,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.63 : 3,618.35 = 1,781.88 : x
  2. Step 2: Convert to fraction form
    2,622.63/3,618.35 = 1,781.88/x
  3. Step 3: Cross multiply
    2,622.63x = 3,618.35 × 1,781.88
  4. Step 4: Simplify right side
    2,622.63x = 6,447,456.59
  5. Step 5: Solve for x
    x = 6,447,456.59/2,622.63
  6. Step 6: Final answer
    x = 2,458.39

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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.