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Finding the Fourth Proportional to 2,118.72, 3,173.84 and 1,458.96

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Solution

The fourth proportional to 2,118.72, 3,173.84 and 1,458.96 is: 2,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.72 : 3,173.84 = 1,458.96 : x
  2. Step 2: Convert to fraction form
    2,118.72/3,173.84 = 1,458.96/x
  3. Step 3: Cross multiply
    2,118.72x = 3,173.84 × 1,458.96
  4. Step 4: Simplify right side
    2,118.72x = 4,630,505.61
  5. Step 5: Solve for x
    x = 4,630,505.61/2,118.72
  6. Step 6: Final answer
    x = 2,185.52

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