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Finding the Fourth Proportional to 3,322.83, 4,981.80 and 1,592.67

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Solution

The fourth proportional to 3,322.83, 4,981.80 and 1,592.67 is: 2,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.83 : 4,981.80 = 1,592.67 : x
  2. Step 2: Convert to fraction form
    3,322.83/4,981.80 = 1,592.67/x
  3. Step 3: Cross multiply
    3,322.83x = 4,981.80 × 1,592.67
  4. Step 4: Simplify right side
    3,322.83x = 7,934,363.41
  5. Step 5: Solve for x
    x = 7,934,363.41/3,322.83
  6. Step 6: Final answer
    x = 2,387.83

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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.