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Finding the Fourth Proportional to 4,114.01, 6,171.15 and 1,480.70

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Solution

The fourth proportional to 4,114.01, 6,171.15 and 1,480.70 is: 2,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.01 : 6,171.15 = 1,480.70 : x
  2. Step 2: Convert to fraction form
    4,114.01/6,171.15 = 1,480.70/x
  3. Step 3: Cross multiply
    4,114.01x = 6,171.15 × 1,480.70
  4. Step 4: Simplify right side
    4,114.01x = 9,137,621.81
  5. Step 5: Solve for x
    x = 9,137,621.81/4,114.01
  6. Step 6: Final answer
    x = 2,221.10

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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.