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Finding the Fourth Proportional to 2,909.01, 4,011.78 and 2,164.83

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Solution

The fourth proportional to 2,909.01, 4,011.78 and 2,164.83 is: 2,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.01 : 4,011.78 = 2,164.83 : x
  2. Step 2: Convert to fraction form
    2,909.01/4,011.78 = 2,164.83/x
  3. Step 3: Cross multiply
    2,909.01x = 4,011.78 × 2,164.83
  4. Step 4: Simplify right side
    2,909.01x = 8,684,821.70
  5. Step 5: Solve for x
    x = 8,684,821.70/2,909.01
  6. Step 6: Final answer
    x = 2,985.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.