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Finding the Fourth Proportional to 2,997.81, 4,497.45 and 917.85

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Solution

The fourth proportional to 2,997.81, 4,497.45 and 917.85 is: 1,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.81 : 4,497.45 = 917.85 : x
  2. Step 2: Convert to fraction form
    2,997.81/4,497.45 = 917.85/x
  3. Step 3: Cross multiply
    2,997.81x = 4,497.45 × 917.85
  4. Step 4: Simplify right side
    2,997.81x = 4,127,984.48
  5. Step 5: Solve for x
    x = 4,127,984.48/2,997.81
  6. Step 6: Final answer
    x = 1,377.00

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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.