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Finding the Fourth Proportional to 2,566.60, 3,849.89 and 923.14

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Solution

The fourth proportional to 2,566.60, 3,849.89 and 923.14 is: 1,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.60 : 3,849.89 = 923.14 : x
  2. Step 2: Convert to fraction form
    2,566.60/3,849.89 = 923.14/x
  3. Step 3: Cross multiply
    2,566.60x = 3,849.89 × 923.14
  4. Step 4: Simplify right side
    2,566.60x = 3,553,987.45
  5. Step 5: Solve for x
    x = 3,553,987.45/2,566.60
  6. Step 6: Final answer
    x = 1,384.71

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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.