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Finding the Fourth Proportional to 2,118.63, 3,177.96 and 579.63

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Solution

The fourth proportional to 2,118.63, 3,177.96 and 579.63 is: 869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.63 : 3,177.96 = 579.63 : x
  2. Step 2: Convert to fraction form
    2,118.63/3,177.96 = 579.63/x
  3. Step 3: Cross multiply
    2,118.63x = 3,177.96 × 579.63
  4. Step 4: Simplify right side
    2,118.63x = 1,842,025.07
  5. Step 5: Solve for x
    x = 1,842,025.07/2,118.63
  6. Step 6: Final answer
    x = 869.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.