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Finding the Fourth Proportional to 2,173.83, 2,999.25 and 1,387.86

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Solution

The fourth proportional to 2,173.83, 2,999.25 and 1,387.86 is: 1,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.83 : 2,999.25 = 1,387.86 : x
  2. Step 2: Convert to fraction form
    2,173.83/2,999.25 = 1,387.86/x
  3. Step 3: Cross multiply
    2,173.83x = 2,999.25 × 1,387.86
  4. Step 4: Simplify right side
    2,173.83x = 4,162,539.11
  5. Step 5: Solve for x
    x = 4,162,539.11/2,173.83
  6. Step 6: Final answer
    x = 1,914.84

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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.