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Finding the Fourth Proportional to 2,187.60, 3,274.96 and 1,445.86

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Solution

The fourth proportional to 2,187.60, 3,274.96 and 1,445.86 is: 2,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.60 : 3,274.96 = 1,445.86 : x
  2. Step 2: Convert to fraction form
    2,187.60/3,274.96 = 1,445.86/x
  3. Step 3: Cross multiply
    2,187.60x = 3,274.96 × 1,445.86
  4. Step 4: Simplify right side
    2,187.60x = 4,735,133.67
  5. Step 5: Solve for x
    x = 4,735,133.67/2,187.60
  6. Step 6: Final answer
    x = 2,164.53

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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.