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Finding the Fourth Proportional to 1,636.40, 2,441.98 and 1,348.40

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Solution

The fourth proportional to 1,636.40, 2,441.98 and 1,348.40 is: 2,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.40 : 2,441.98 = 1,348.40 : x
  2. Step 2: Convert to fraction form
    1,636.40/2,441.98 = 1,348.40/x
  3. Step 3: Cross multiply
    1,636.40x = 2,441.98 × 1,348.40
  4. Step 4: Simplify right side
    1,636.40x = 3,292,765.83
  5. Step 5: Solve for x
    x = 3,292,765.83/1,636.40
  6. Step 6: Final answer
    x = 2,012.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.