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Finding the Fourth Proportional to 2,185.34, 3,275.91 and 723.69

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Solution

The fourth proportional to 2,185.34, 3,275.91 and 723.69 is: 1,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.34 : 3,275.91 = 723.69 : x
  2. Step 2: Convert to fraction form
    2,185.34/3,275.91 = 723.69/x
  3. Step 3: Cross multiply
    2,185.34x = 3,275.91 × 723.69
  4. Step 4: Simplify right side
    2,185.34x = 2,370,743.31
  5. Step 5: Solve for x
    x = 2,370,743.31/2,185.34
  6. Step 6: Final answer
    x = 1,084.84

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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.