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Finding the Fourth Proportional to 3,095.43, 4,641.78 and 1,450.65

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Solution

The fourth proportional to 3,095.43, 4,641.78 and 1,450.65 is: 2,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.43 : 4,641.78 = 1,450.65 : x
  2. Step 2: Convert to fraction form
    3,095.43/4,641.78 = 1,450.65/x
  3. Step 3: Cross multiply
    3,095.43x = 4,641.78 × 1,450.65
  4. Step 4: Simplify right side
    3,095.43x = 6,733,598.16
  5. Step 5: Solve for x
    x = 6,733,598.16/3,095.43
  6. Step 6: Final answer
    x = 2,175.34

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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.