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Finding the Fourth Proportional to 2,299.06, 3,447.51 and 1,000

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Solution

The fourth proportional to 2,299.06, 3,447.51 and 1,000 is: 1,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.06 : 3,447.51 = 1,000 : x
  2. Step 2: Convert to fraction form
    2,299.06/3,447.51 = 1,000/x
  3. Step 3: Cross multiply
    2,299.06x = 3,447.51 × 1,000
  4. Step 4: Simplify right side
    2,299.06x = 3,447,510
  5. Step 5: Solve for x
    x = 3,447,510/2,299.06
  6. Step 6: Final answer
    x = 1,499.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.