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Finding the Fourth Proportional to 3,078.40, 4,243.80 and 1,898.68

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Solution

The fourth proportional to 3,078.40, 4,243.80 and 1,898.68 is: 2,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.40 : 4,243.80 = 1,898.68 : x
  2. Step 2: Convert to fraction form
    3,078.40/4,243.80 = 1,898.68/x
  3. Step 3: Cross multiply
    3,078.40x = 4,243.80 × 1,898.68
  4. Step 4: Simplify right side
    3,078.40x = 8,057,618.18
  5. Step 5: Solve for x
    x = 8,057,618.18/3,078.40
  6. Step 6: Final answer
    x = 2,617.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.