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Finding the Fourth Proportional to 2,426.70, 3,640.40 and 945.63

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Solution

The fourth proportional to 2,426.70, 3,640.40 and 945.63 is: 1,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.70 : 3,640.40 = 945.63 : x
  2. Step 2: Convert to fraction form
    2,426.70/3,640.40 = 945.63/x
  3. Step 3: Cross multiply
    2,426.70x = 3,640.40 × 945.63
  4. Step 4: Simplify right side
    2,426.70x = 3,442,466.72
  5. Step 5: Solve for x
    x = 3,442,466.72/2,426.70
  6. Step 6: Final answer
    x = 1,418.58

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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.