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Finding the Fourth Proportional to 2,384.96, 3,576.60 and 997.57

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Solution

The fourth proportional to 2,384.96, 3,576.60 and 997.57 is: 1,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.96 : 3,576.60 = 997.57 : x
  2. Step 2: Convert to fraction form
    2,384.96/3,576.60 = 997.57/x
  3. Step 3: Cross multiply
    2,384.96x = 3,576.60 × 997.57
  4. Step 4: Simplify right side
    2,384.96x = 3,567,908.86
  5. Step 5: Solve for x
    x = 3,567,908.86/2,384.96
  6. Step 6: Final answer
    x = 1,496.00

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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.