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Finding the Fourth Proportional to 3,454.70, 5,180.46 and 1,114.28

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Solution

The fourth proportional to 3,454.70, 5,180.46 and 1,114.28 is: 1,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.70 : 5,180.46 = 1,114.28 : x
  2. Step 2: Convert to fraction form
    3,454.70/5,180.46 = 1,114.28/x
  3. Step 3: Cross multiply
    3,454.70x = 5,180.46 × 1,114.28
  4. Step 4: Simplify right side
    3,454.70x = 5,772,482.97
  5. Step 5: Solve for x
    x = 5,772,482.97/3,454.70
  6. Step 6: Final answer
    x = 1,670.91

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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.