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Finding the Fourth Proportional to 2,275.89, 3,408.33 and 2,259.48

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Solution

The fourth proportional to 2,275.89, 3,408.33 and 2,259.48 is: 3,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.89 : 3,408.33 = 2,259.48 : x
  2. Step 2: Convert to fraction form
    2,275.89/3,408.33 = 2,259.48/x
  3. Step 3: Cross multiply
    2,275.89x = 3,408.33 × 2,259.48
  4. Step 4: Simplify right side
    2,275.89x = 7,701,053.47
  5. Step 5: Solve for x
    x = 7,701,053.47/2,275.89
  6. Step 6: Final answer
    x = 3,383.75

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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.