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Finding the Fourth Proportional to 2,656.65, 3,984.99 and 1,834.68

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Solution

The fourth proportional to 2,656.65, 3,984.99 and 1,834.68 is: 2,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.65 : 3,984.99 = 1,834.68 : x
  2. Step 2: Convert to fraction form
    2,656.65/3,984.99 = 1,834.68/x
  3. Step 3: Cross multiply
    2,656.65x = 3,984.99 × 1,834.68
  4. Step 4: Simplify right side
    2,656.65x = 7,311,181.45
  5. Step 5: Solve for x
    x = 7,311,181.45/2,656.65
  6. Step 6: Final answer
    x = 2,752.03

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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.