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Finding the Fourth Proportional to 2,299.32, 3,450.40 and 1,000.89

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Solution

The fourth proportional to 2,299.32, 3,450.40 and 1,000.89 is: 1,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.32 : 3,450.40 = 1,000.89 : x
  2. Step 2: Convert to fraction form
    2,299.32/3,450.40 = 1,000.89/x
  3. Step 3: Cross multiply
    2,299.32x = 3,450.40 × 1,000.89
  4. Step 4: Simplify right side
    2,299.32x = 3,453,468.35
  5. Step 5: Solve for x
    x = 3,453,468.35/2,299.32
  6. Step 6: Final answer
    x = 1,501.95

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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.