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Finding the Fourth Proportional to 2,159.04, 3,238.61 and 698.19

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Solution

The fourth proportional to 2,159.04, 3,238.61 and 698.19 is: 1,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.04 : 3,238.61 = 698.19 : x
  2. Step 2: Convert to fraction form
    2,159.04/3,238.61 = 698.19/x
  3. Step 3: Cross multiply
    2,159.04x = 3,238.61 × 698.19
  4. Step 4: Simplify right side
    2,159.04x = 2,261,161.62
  5. Step 5: Solve for x
    x = 2,261,161.62/2,159.04
  6. Step 6: Final answer
    x = 1,047.30

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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.