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Finding the Fourth Proportional to 1,678.40, 2,517.60 and 1,246.40

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Solution

The fourth proportional to 1,678.40, 2,517.60 and 1,246.40 is: 1,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.40 : 2,517.60 = 1,246.40 : x
  2. Step 2: Convert to fraction form
    1,678.40/2,517.60 = 1,246.40/x
  3. Step 3: Cross multiply
    1,678.40x = 2,517.60 × 1,246.40
  4. Step 4: Simplify right side
    1,678.40x = 3,137,936.64
  5. Step 5: Solve for x
    x = 3,137,936.64/1,678.40
  6. Step 6: Final answer
    x = 1,869.60

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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.