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Finding the Fourth Proportional to 3,160.83, 4,357.87 and 2,164.39

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Solution

The fourth proportional to 3,160.83, 4,357.87 and 2,164.39 is: 2,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.83 : 4,357.87 = 2,164.39 : x
  2. Step 2: Convert to fraction form
    3,160.83/4,357.87 = 2,164.39/x
  3. Step 3: Cross multiply
    3,160.83x = 4,357.87 × 2,164.39
  4. Step 4: Simplify right side
    3,160.83x = 9,432,130.25
  5. Step 5: Solve for x
    x = 9,432,130.25/3,160.83
  6. Step 6: Final answer
    x = 2,984.07

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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.