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Finding the Fourth Proportional to 2,499.29, 3,749.28 and 917.80

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Solution

The fourth proportional to 2,499.29, 3,749.28 and 917.80 is: 1,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.29 : 3,749.28 = 917.80 : x
  2. Step 2: Convert to fraction form
    2,499.29/3,749.28 = 917.80/x
  3. Step 3: Cross multiply
    2,499.29x = 3,749.28 × 917.80
  4. Step 4: Simplify right side
    2,499.29x = 3,441,097.46
  5. Step 5: Solve for x
    x = 3,441,097.46/2,499.29
  6. Step 6: Final answer
    x = 1,376.83

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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.