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Finding the Fourth Proportional to 2,335.65, 3,505.81 and 1,678.29

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Solution

The fourth proportional to 2,335.65, 3,505.81 and 1,678.29 is: 2,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.65 : 3,505.81 = 1,678.29 : x
  2. Step 2: Convert to fraction form
    2,335.65/3,505.81 = 1,678.29/x
  3. Step 3: Cross multiply
    2,335.65x = 3,505.81 × 1,678.29
  4. Step 4: Simplify right side
    2,335.65x = 5,883,776.53
  5. Step 5: Solve for x
    x = 5,883,776.53/2,335.65
  6. Step 6: Final answer
    x = 2,519.12

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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.