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Finding the Fourth Proportional to 1,741.91, 2,624.84 and 1,440.53

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Solution

The fourth proportional to 1,741.91, 2,624.84 and 1,440.53 is: 2,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.91 : 2,624.84 = 1,440.53 : x
  2. Step 2: Convert to fraction form
    1,741.91/2,624.84 = 1,440.53/x
  3. Step 3: Cross multiply
    1,741.91x = 2,624.84 × 1,440.53
  4. Step 4: Simplify right side
    1,741.91x = 3,781,176.53
  5. Step 5: Solve for x
    x = 3,781,176.53/1,741.91
  6. Step 6: Final answer
    x = 2,170.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.