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Finding the Fourth Proportional to 1,585.53, 2,376.77 and 1,450.22

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Solution

The fourth proportional to 1,585.53, 2,376.77 and 1,450.22 is: 2,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.53 : 2,376.77 = 1,450.22 : x
  2. Step 2: Convert to fraction form
    1,585.53/2,376.77 = 1,450.22/x
  3. Step 3: Cross multiply
    1,585.53x = 2,376.77 × 1,450.22
  4. Step 4: Simplify right side
    1,585.53x = 3,446,820.25
  5. Step 5: Solve for x
    x = 3,446,820.25/1,585.53
  6. Step 6: Final answer
    x = 2,173.92

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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.