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Finding the Fourth Proportional to 2,380.67, 3,571.58 and 993.24

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Solution

The fourth proportional to 2,380.67, 3,571.58 and 993.24 is: 1,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.67 : 3,571.58 = 993.24 : x
  2. Step 2: Convert to fraction form
    2,380.67/3,571.58 = 993.24/x
  3. Step 3: Cross multiply
    2,380.67x = 3,571.58 × 993.24
  4. Step 4: Simplify right side
    2,380.67x = 3,547,417.76
  5. Step 5: Solve for x
    x = 3,547,417.76/2,380.67
  6. Step 6: Final answer
    x = 1,490.09

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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.