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Finding the Fourth Proportional to 3,098.36, 4,643.40 and 1,454.60

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Solution

The fourth proportional to 3,098.36, 4,643.40 and 1,454.60 is: 2,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.36 : 4,643.40 = 1,454.60 : x
  2. Step 2: Convert to fraction form
    3,098.36/4,643.40 = 1,454.60/x
  3. Step 3: Cross multiply
    3,098.36x = 4,643.40 × 1,454.60
  4. Step 4: Simplify right side
    3,098.36x = 6,754,289.64
  5. Step 5: Solve for x
    x = 6,754,289.64/3,098.36
  6. Step 6: Final answer
    x = 2,179.96

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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.