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Finding the Fourth Proportional to 2,678.91, 4,019.88 and 1,446.29

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Solution

The fourth proportional to 2,678.91, 4,019.88 and 1,446.29 is: 2,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.91 : 4,019.88 = 1,446.29 : x
  2. Step 2: Convert to fraction form
    2,678.91/4,019.88 = 1,446.29/x
  3. Step 3: Cross multiply
    2,678.91x = 4,019.88 × 1,446.29
  4. Step 4: Simplify right side
    2,678.91x = 5,813,925.91
  5. Step 5: Solve for x
    x = 5,813,925.91/2,678.91
  6. Step 6: Final answer
    x = 2,170.26

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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.