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Finding the Fourth Proportional to 1,698.03, 2,544.30 and 968.13

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Solution

The fourth proportional to 1,698.03, 2,544.30 and 968.13 is: 1,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.03 : 2,544.30 = 968.13 : x
  2. Step 2: Convert to fraction form
    1,698.03/2,544.30 = 968.13/x
  3. Step 3: Cross multiply
    1,698.03x = 2,544.30 × 968.13
  4. Step 4: Simplify right side
    1,698.03x = 2,463,213.16
  5. Step 5: Solve for x
    x = 2,463,213.16/1,698.03
  6. Step 6: Final answer
    x = 1,450.63

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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.