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Finding the Fourth Proportional to 2,259.15, 3,390.21 and 798.25

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Solution

The fourth proportional to 2,259.15, 3,390.21 and 798.25 is: 1,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.15 : 3,390.21 = 798.25 : x
  2. Step 2: Convert to fraction form
    2,259.15/3,390.21 = 798.25/x
  3. Step 3: Cross multiply
    2,259.15x = 3,390.21 × 798.25
  4. Step 4: Simplify right side
    2,259.15x = 2,706,214.19
  5. Step 5: Solve for x
    x = 2,706,214.19/2,259.15
  6. Step 6: Final answer
    x = 1,197.89

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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.