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Finding the Fourth Proportional to 1,825.34, 2,736.18 and 784.89

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Solution

The fourth proportional to 1,825.34, 2,736.18 and 784.89 is: 1,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.34 : 2,736.18 = 784.89 : x
  2. Step 2: Convert to fraction form
    1,825.34/2,736.18 = 784.89/x
  3. Step 3: Cross multiply
    1,825.34x = 2,736.18 × 784.89
  4. Step 4: Simplify right side
    1,825.34x = 2,147,600.32
  5. Step 5: Solve for x
    x = 2,147,600.32/1,825.34
  6. Step 6: Final answer
    x = 1,176.55

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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.