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Finding the Fourth Proportional to 2,459.83, 3,687.58 and 920.47

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Solution

The fourth proportional to 2,459.83, 3,687.58 and 920.47 is: 1,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.83 : 3,687.58 = 920.47 : x
  2. Step 2: Convert to fraction form
    2,459.83/3,687.58 = 920.47/x
  3. Step 3: Cross multiply
    2,459.83x = 3,687.58 × 920.47
  4. Step 4: Simplify right side
    2,459.83x = 3,394,306.76
  5. Step 5: Solve for x
    x = 3,394,306.76/2,459.83
  6. Step 6: Final answer
    x = 1,379.89

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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.