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Finding the Fourth Proportional to 1,834.56, 2,752.08 and 536.16

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Solution

The fourth proportional to 1,834.56, 2,752.08 and 536.16 is: 804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.56 : 2,752.08 = 536.16 : x
  2. Step 2: Convert to fraction form
    1,834.56/2,752.08 = 536.16/x
  3. Step 3: Cross multiply
    1,834.56x = 2,752.08 × 536.16
  4. Step 4: Simplify right side
    1,834.56x = 1,475,555.21
  5. Step 5: Solve for x
    x = 1,475,555.21/1,834.56
  6. Step 6: Final answer
    x = 804.31

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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.