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Finding the Fourth Proportional to 2,348.60, 3,241.60 and 1,464.23

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Solution

The fourth proportional to 2,348.60, 3,241.60 and 1,464.23 is: 2,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.60 : 3,241.60 = 1,464.23 : x
  2. Step 2: Convert to fraction form
    2,348.60/3,241.60 = 1,464.23/x
  3. Step 3: Cross multiply
    2,348.60x = 3,241.60 × 1,464.23
  4. Step 4: Simplify right side
    2,348.60x = 4,746,440.26
  5. Step 5: Solve for x
    x = 4,746,440.26/2,348.60
  6. Step 6: Final answer
    x = 2,020.97

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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.