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Finding the Fourth Proportional to 3,454.69, 5,182.05 and 1,480.16

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Solution

The fourth proportional to 3,454.69, 5,182.05 and 1,480.16 is: 2,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.69 : 5,182.05 = 1,480.16 : x
  2. Step 2: Convert to fraction form
    3,454.69/5,182.05 = 1,480.16/x
  3. Step 3: Cross multiply
    3,454.69x = 5,182.05 × 1,480.16
  4. Step 4: Simplify right side
    3,454.69x = 7,670,263.13
  5. Step 5: Solve for x
    x = 7,670,263.13/3,454.69
  6. Step 6: Final answer
    x = 2,220.25

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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.