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Finding the Fourth Proportional to 1,638.40, 2,470.40 and 1,433.60

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Solution

The fourth proportional to 1,638.40, 2,470.40 and 1,433.60 is: 2,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.40 : 2,470.40 = 1,433.60 : x
  2. Step 2: Convert to fraction form
    1,638.40/2,470.40 = 1,433.60/x
  3. Step 3: Cross multiply
    1,638.40x = 2,470.40 × 1,433.60
  4. Step 4: Simplify right side
    1,638.40x = 3,541,565.44
  5. Step 5: Solve for x
    x = 3,541,565.44/1,638.40
  6. Step 6: Final answer
    x = 2,161.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.