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Finding the Fourth Proportional to 3,220.74, 4,830.54 and 1,465.33

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Solution

The fourth proportional to 3,220.74, 4,830.54 and 1,465.33 is: 2,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.74 : 4,830.54 = 1,465.33 : x
  2. Step 2: Convert to fraction form
    3,220.74/4,830.54 = 1,465.33/x
  3. Step 3: Cross multiply
    3,220.74x = 4,830.54 × 1,465.33
  4. Step 4: Simplify right side
    3,220.74x = 7,078,335.18
  5. Step 5: Solve for x
    x = 7,078,335.18/3,220.74
  6. Step 6: Final answer
    x = 2,197.74

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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.