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Finding the Fourth Proportional to 2,333.28, 3,500.46 and 689.88

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Solution

The fourth proportional to 2,333.28, 3,500.46 and 689.88 is: 1,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.28 : 3,500.46 = 689.88 : x
  2. Step 2: Convert to fraction form
    2,333.28/3,500.46 = 689.88/x
  3. Step 3: Cross multiply
    2,333.28x = 3,500.46 × 689.88
  4. Step 4: Simplify right side
    2,333.28x = 2,414,897.34
  5. Step 5: Solve for x
    x = 2,414,897.34/2,333.28
  6. Step 6: Final answer
    x = 1,034.98

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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.