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Finding the Fourth Proportional to 2,259.11, 3,387.43 and 698.69

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Solution

The fourth proportional to 2,259.11, 3,387.43 and 698.69 is: 1,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.11 : 3,387.43 = 698.69 : x
  2. Step 2: Convert to fraction form
    2,259.11/3,387.43 = 698.69/x
  3. Step 3: Cross multiply
    2,259.11x = 3,387.43 × 698.69
  4. Step 4: Simplify right side
    2,259.11x = 2,366,763.47
  5. Step 5: Solve for x
    x = 2,366,763.47/2,259.11
  6. Step 6: Final answer
    x = 1,047.65

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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.