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Finding the Fourth Proportional to 2,014.64, 3,021.21 and 698.04

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Solution

The fourth proportional to 2,014.64, 3,021.21 and 698.04 is: 1,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.64 : 3,021.21 = 698.04 : x
  2. Step 2: Convert to fraction form
    2,014.64/3,021.21 = 698.04/x
  3. Step 3: Cross multiply
    2,014.64x = 3,021.21 × 698.04
  4. Step 4: Simplify right side
    2,014.64x = 2,108,925.43
  5. Step 5: Solve for x
    x = 2,108,925.43/2,014.64
  6. Step 6: Final answer
    x = 1,046.80

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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.