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Finding the Fourth Proportional to 2,429.94, 3,644.37 and 698.70

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Solution

The fourth proportional to 2,429.94, 3,644.37 and 698.70 is: 1,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.94 : 3,644.37 = 698.70 : x
  2. Step 2: Convert to fraction form
    2,429.94/3,644.37 = 698.70/x
  3. Step 3: Cross multiply
    2,429.94x = 3,644.37 × 698.70
  4. Step 4: Simplify right side
    2,429.94x = 2,546,321.32
  5. Step 5: Solve for x
    x = 2,546,321.32/2,429.94
  6. Step 6: Final answer
    x = 1,047.89

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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.