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Finding the Fourth Proportional to 2,434.62, 3,644.39 and 1,968.51

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Solution

The fourth proportional to 2,434.62, 3,644.39 and 1,968.51 is: 2,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.62 : 3,644.39 = 1,968.51 : x
  2. Step 2: Convert to fraction form
    2,434.62/3,644.39 = 1,968.51/x
  3. Step 3: Cross multiply
    2,434.62x = 3,644.39 × 1,968.51
  4. Step 4: Simplify right side
    2,434.62x = 7,174,008.32
  5. Step 5: Solve for x
    x = 7,174,008.32/2,434.62
  6. Step 6: Final answer
    x = 2,946.66

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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.