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Finding the Fourth Proportional to 2,142.57, 3,210.54 and 1,446.51

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Solution

The fourth proportional to 2,142.57, 3,210.54 and 1,446.51 is: 2,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.57 : 3,210.54 = 1,446.51 : x
  2. Step 2: Convert to fraction form
    2,142.57/3,210.54 = 1,446.51/x
  3. Step 3: Cross multiply
    2,142.57x = 3,210.54 × 1,446.51
  4. Step 4: Simplify right side
    2,142.57x = 4,644,078.22
  5. Step 5: Solve for x
    x = 4,644,078.22/2,142.57
  6. Step 6: Final answer
    x = 2,167.53

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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.