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Finding the Fourth Proportional to 1,585.74, 2,375.46 and 1,450.38

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Solution

The fourth proportional to 1,585.74, 2,375.46 and 1,450.38 is: 2,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.74 : 2,375.46 = 1,450.38 : x
  2. Step 2: Convert to fraction form
    1,585.74/2,375.46 = 1,450.38/x
  3. Step 3: Cross multiply
    1,585.74x = 2,375.46 × 1,450.38
  4. Step 4: Simplify right side
    1,585.74x = 3,445,319.67
  5. Step 5: Solve for x
    x = 3,445,319.67/1,585.74
  6. Step 6: Final answer
    x = 2,172.69

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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.